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Simplifying 7 + -4(x + 3) + -5 = 7 + 2(4 + -1x) + -16 Reorder the terms: 7 + -4(3 + x) + -5 = 7 + 2(4 + -1x) + -16 7 + (3 * -4 + x * -4) + -5 = 7 + 2(4 + -1x) + -16 7 + (-12 + -4x) + -5 = 7 + 2(4 + -1x) + -16 Reorder the terms: 7 + -12 + -5 + -4x = 7 + 2(4 + -1x) + -16 Combine like terms: 7 + -12 = -5 -5 + -5 + -4x = 7 + 2(4 + -1x) + -16 Combine like terms: -5 + -5 = -10 -10 + -4x = 7 + 2(4 + -1x) + -16 -10 + -4x = 7 + (4 * 2 + -1x * 2) + -16 -10 + -4x = 7 + (8 + -2x) + -16 Reorder the terms: -10 + -4x = 7 + 8 + -16 + -2x Combine like terms: 7 + 8 = 15 -10 + -4x = 15 + -16 + -2x Combine like terms: 15 + -16 = -1 -10 + -4x = -1 + -2x Solving -10 + -4x = -1 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -10 + -4x + 2x = -1 + -2x + 2x Combine like terms: -4x + 2x = -2x -10 + -2x = -1 + -2x + 2x Combine like terms: -2x + 2x = 0 -10 + -2x = -1 + 0 -10 + -2x = -1 Add '10' to each side of the equation. -10 + 10 + -2x = -1 + 10 Combine like terms: -10 + 10 = 0 0 + -2x = -1 + 10 -2x = -1 + 10 Combine like terms: -1 + 10 = 9 -2x = 9 Divide each side by '-2'. x = -4.5 Simplifying x = -4.5
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