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Simplifying 5(x + 2) + -3 = 3(x + -1) + -2x Reorder the terms: 5(2 + x) + -3 = 3(x + -1) + -2x (2 * 5 + x * 5) + -3 = 3(x + -1) + -2x (10 + 5x) + -3 = 3(x + -1) + -2x Reorder the terms: 10 + -3 + 5x = 3(x + -1) + -2x Combine like terms: 10 + -3 = 7 7 + 5x = 3(x + -1) + -2x Reorder the terms: 7 + 5x = 3(-1 + x) + -2x 7 + 5x = (-1 * 3 + x * 3) + -2x 7 + 5x = (-3 + 3x) + -2x Combine like terms: 3x + -2x = 1x 7 + 5x = -3 + 1x Solving 7 + 5x = -3 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 7 + 5x + -1x = -3 + 1x + -1x Combine like terms: 5x + -1x = 4x 7 + 4x = -3 + 1x + -1x Combine like terms: 1x + -1x = 0 7 + 4x = -3 + 0 7 + 4x = -3 Add '-7' to each side of the equation. 7 + -7 + 4x = -3 + -7 Combine like terms: 7 + -7 = 0 0 + 4x = -3 + -7 4x = -3 + -7 Combine like terms: -3 + -7 = -10 4x = -10 Divide each side by '4'. x = -2.5 Simplifying x = -2.5
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