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Simplifying 5(-2x + 3) + 8x = -3x + -6 + 2x Reorder the terms: 5(3 + -2x) + 8x = -3x + -6 + 2x (3 * 5 + -2x * 5) + 8x = -3x + -6 + 2x (15 + -10x) + 8x = -3x + -6 + 2x Combine like terms: -10x + 8x = -2x 15 + -2x = -3x + -6 + 2x Reorder the terms: 15 + -2x = -6 + -3x + 2x Combine like terms: -3x + 2x = -1x 15 + -2x = -6 + -1x Solving 15 + -2x = -6 + -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. 15 + -2x + x = -6 + -1x + x Combine like terms: -2x + x = -1x 15 + -1x = -6 + -1x + x Combine like terms: -1x + x = 0 15 + -1x = -6 + 0 15 + -1x = -6 Add '-15' to each side of the equation. 15 + -15 + -1x = -6 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = -6 + -15 -1x = -6 + -15 Combine like terms: -6 + -15 = -21 -1x = -21 Divide each side by '-1'. x = 21 Simplifying x = 21
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