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Simplifying 7x + -2(x + -5) = -3x + 2(x + -4) Reorder the terms: 7x + -2(-5 + x) = -3x + 2(x + -4) 7x + (-5 * -2 + x * -2) = -3x + 2(x + -4) 7x + (10 + -2x) = -3x + 2(x + -4) Reorder the terms: 10 + 7x + -2x = -3x + 2(x + -4) Combine like terms: 7x + -2x = 5x 10 + 5x = -3x + 2(x + -4) Reorder the terms: 10 + 5x = -3x + 2(-4 + x) 10 + 5x = -3x + (-4 * 2 + x * 2) 10 + 5x = -3x + (-8 + 2x) Reorder the terms: 10 + 5x = -8 + -3x + 2x Combine like terms: -3x + 2x = -1x 10 + 5x = -8 + -1x Solving 10 + 5x = -8 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 10 + 5x + x = -8 + -1x + x Combine like terms: 5x + x = 6x 10 + 6x = -8 + -1x + x Combine like terms: -1x + x = 0 10 + 6x = -8 + 0 10 + 6x = -8 Add '-10' to each side of the equation. 10 + -10 + 6x = -8 + -10 Combine like terms: 10 + -10 = 0 0 + 6x = -8 + -10 6x = -8 + -10 Combine like terms: -8 + -10 = -18 6x = -18 Divide each side by '6'. x = -3 Simplifying x = -3
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