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Simplifying 5x + 7 = -2(x + -6) + 3(-5 + 4x) Reorder the terms: 7 + 5x = -2(x + -6) + 3(-5 + 4x) Reorder the terms: 7 + 5x = -2(-6 + x) + 3(-5 + 4x) 7 + 5x = (-6 * -2 + x * -2) + 3(-5 + 4x) 7 + 5x = (12 + -2x) + 3(-5 + 4x) 7 + 5x = 12 + -2x + (-5 * 3 + 4x * 3) 7 + 5x = 12 + -2x + (-15 + 12x) Reorder the terms: 7 + 5x = 12 + -15 + -2x + 12x Combine like terms: 12 + -15 = -3 7 + 5x = -3 + -2x + 12x Combine like terms: -2x + 12x = 10x 7 + 5x = -3 + 10x Solving 7 + 5x = -3 + 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. 7 + 5x + -10x = -3 + 10x + -10x Combine like terms: 5x + -10x = -5x 7 + -5x = -3 + 10x + -10x Combine like terms: 10x + -10x = 0 7 + -5x = -3 + 0 7 + -5x = -3 Add '-7' to each side of the equation. 7 + -7 + -5x = -3 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = -3 + -7 -5x = -3 + -7 Combine like terms: -3 + -7 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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