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Simplifying 7 + -2(3x + -5) + 7x = 5 + -3(4x + -3) + 2x + -4 Reorder the terms: 7 + -2(-5 + 3x) + 7x = 5 + -3(4x + -3) + 2x + -4 7 + (-5 * -2 + 3x * -2) + 7x = 5 + -3(4x + -3) + 2x + -4 7 + (10 + -6x) + 7x = 5 + -3(4x + -3) + 2x + -4 Combine like terms: 7 + 10 = 17 17 + -6x + 7x = 5 + -3(4x + -3) + 2x + -4 Combine like terms: -6x + 7x = 1x 17 + 1x = 5 + -3(4x + -3) + 2x + -4 Reorder the terms: 17 + 1x = 5 + -3(-3 + 4x) + 2x + -4 17 + 1x = 5 + (-3 * -3 + 4x * -3) + 2x + -4 17 + 1x = 5 + (9 + -12x) + 2x + -4 Reorder the terms: 17 + 1x = 5 + 9 + -4 + -12x + 2x Combine like terms: 5 + 9 = 14 17 + 1x = 14 + -4 + -12x + 2x Combine like terms: 14 + -4 = 10 17 + 1x = 10 + -12x + 2x Combine like terms: -12x + 2x = -10x 17 + 1x = 10 + -10x Solving 17 + 1x = 10 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 17 + 1x + 10x = 10 + -10x + 10x Combine like terms: 1x + 10x = 11x 17 + 11x = 10 + -10x + 10x Combine like terms: -10x + 10x = 0 17 + 11x = 10 + 0 17 + 11x = 10 Add '-17' to each side of the equation. 17 + -17 + 11x = 10 + -17 Combine like terms: 17 + -17 = 0 0 + 11x = 10 + -17 11x = 10 + -17 Combine like terms: 10 + -17 = -7 11x = -7 Divide each side by '11'. x = -0.6363636364 Simplifying x = -0.6363636364
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