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Simplifying 7(1 + -1x) = -2(5x + 4) + 6x (1 * 7 + -1x * 7) = -2(5x + 4) + 6x (7 + -7x) = -2(5x + 4) + 6x Reorder the terms: 7 + -7x = -2(4 + 5x) + 6x 7 + -7x = (4 * -2 + 5x * -2) + 6x 7 + -7x = (-8 + -10x) + 6x Combine like terms: -10x + 6x = -4x 7 + -7x = -8 + -4x Solving 7 + -7x = -8 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 7 + -7x + 4x = -8 + -4x + 4x Combine like terms: -7x + 4x = -3x 7 + -3x = -8 + -4x + 4x Combine like terms: -4x + 4x = 0 7 + -3x = -8 + 0 7 + -3x = -8 Add '-7' to each side of the equation. 7 + -7 + -3x = -8 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = -8 + -7 -3x = -8 + -7 Combine like terms: -8 + -7 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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