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Simplifying 5x + -3 + -2x + 10 = 3(2x + -3) + -1x Reorder the terms: -3 + 10 + 5x + -2x = 3(2x + -3) + -1x Combine like terms: -3 + 10 = 7 7 + 5x + -2x = 3(2x + -3) + -1x Combine like terms: 5x + -2x = 3x 7 + 3x = 3(2x + -3) + -1x Reorder the terms: 7 + 3x = 3(-3 + 2x) + -1x 7 + 3x = (-3 * 3 + 2x * 3) + -1x 7 + 3x = (-9 + 6x) + -1x Combine like terms: 6x + -1x = 5x 7 + 3x = -9 + 5x Solving 7 + 3x = -9 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 7 + 3x + -5x = -9 + 5x + -5x Combine like terms: 3x + -5x = -2x 7 + -2x = -9 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + -2x = -9 + 0 7 + -2x = -9 Add '-7' to each side of the equation. 7 + -7 + -2x = -9 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = -9 + -7 -2x = -9 + -7 Combine like terms: -9 + -7 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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