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Simplifying -4(x + -2) + -3x = 2(5x + -7) + 6 Reorder the terms: -4(-2 + x) + -3x = 2(5x + -7) + 6 (-2 * -4 + x * -4) + -3x = 2(5x + -7) + 6 (8 + -4x) + -3x = 2(5x + -7) + 6 Combine like terms: -4x + -3x = -7x 8 + -7x = 2(5x + -7) + 6 Reorder the terms: 8 + -7x = 2(-7 + 5x) + 6 8 + -7x = (-7 * 2 + 5x * 2) + 6 8 + -7x = (-14 + 10x) + 6 Reorder the terms: 8 + -7x = -14 + 6 + 10x Combine like terms: -14 + 6 = -8 8 + -7x = -8 + 10x Solving 8 + -7x = -8 + 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. 8 + -7x + -10x = -8 + 10x + -10x Combine like terms: -7x + -10x = -17x 8 + -17x = -8 + 10x + -10x Combine like terms: 10x + -10x = 0 8 + -17x = -8 + 0 8 + -17x = -8 Add '-8' to each side of the equation. 8 + -8 + -17x = -8 + -8 Combine like terms: 8 + -8 = 0 0 + -17x = -8 + -8 -17x = -8 + -8 Combine like terms: -8 + -8 = -16 -17x = -16 Divide each side by '-17'. x = 0.9411764706 Simplifying x = 0.9411764706
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