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Simplifying 88 + -3(x + -6) + -4(x + -1) + -7(2x + -3) + 2(2x + 2.5) = 0 Reorder the terms: 88 + -3(-6 + x) + -4(x + -1) + -7(2x + -3) + 2(2x + 2.5) = 0 88 + (-6 * -3 + x * -3) + -4(x + -1) + -7(2x + -3) + 2(2x + 2.5) = 0 88 + (18 + -3x) + -4(x + -1) + -7(2x + -3) + 2(2x + 2.5) = 0 Reorder the terms: 88 + 18 + -3x + -4(-1 + x) + -7(2x + -3) + 2(2x + 2.5) = 0 88 + 18 + -3x + (-1 * -4 + x * -4) + -7(2x + -3) + 2(2x + 2.5) = 0 88 + 18 + -3x + (4 + -4x) + -7(2x + -3) + 2(2x + 2.5) = 0 Reorder the terms: 88 + 18 + -3x + 4 + -4x + -7(-3 + 2x) + 2(2x + 2.5) = 0 88 + 18 + -3x + 4 + -4x + (-3 * -7 + 2x * -7) + 2(2x + 2.5) = 0 88 + 18 + -3x + 4 + -4x + (21 + -14x) + 2(2x + 2.5) = 0 Reorder the terms: 88 + 18 + -3x + 4 + -4x + 21 + -14x + 2(2.5 + 2x) = 0 88 + 18 + -3x + 4 + -4x + 21 + -14x + (2.5 * 2 + 2x * 2) = 0 88 + 18 + -3x + 4 + -4x + 21 + -14x + (5 + 4x) = 0 Reorder the terms: 88 + 18 + 4 + 21 + 5 + -3x + -4x + -14x + 4x = 0 Combine like terms: 88 + 18 = 106 106 + 4 + 21 + 5 + -3x + -4x + -14x + 4x = 0 Combine like terms: 106 + 4 = 110 110 + 21 + 5 + -3x + -4x + -14x + 4x = 0 Combine like terms: 110 + 21 = 131 131 + 5 + -3x + -4x + -14x + 4x = 0 Combine like terms: 131 + 5 = 136 136 + -3x + -4x + -14x + 4x = 0 Combine like terms: -3x + -4x = -7x 136 + -7x + -14x + 4x = 0 Combine like terms: -7x + -14x = -21x 136 + -21x + 4x = 0 Combine like terms: -21x + 4x = -17x 136 + -17x = 0 Solving 136 + -17x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-136' to each side of the equation. 136 + -136 + -17x = 0 + -136 Combine like terms: 136 + -136 = 0 0 + -17x = 0 + -136 -17x = 0 + -136 Combine like terms: 0 + -136 = -136 -17x = -136 Divide each side by '-17'. x = 8 Simplifying x = 8
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