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Simplifying 5(2x + -3) + -3x = -8(4 + -1x) Reorder the terms: 5(-3 + 2x) + -3x = -8(4 + -1x) (-3 * 5 + 2x * 5) + -3x = -8(4 + -1x) (-15 + 10x) + -3x = -8(4 + -1x) Combine like terms: 10x + -3x = 7x -15 + 7x = -8(4 + -1x) -15 + 7x = (4 * -8 + -1x * -8) -15 + 7x = (-32 + 8x) Solving -15 + 7x = -32 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -15 + 7x + -8x = -32 + 8x + -8x Combine like terms: 7x + -8x = -1x -15 + -1x = -32 + 8x + -8x Combine like terms: 8x + -8x = 0 -15 + -1x = -32 + 0 -15 + -1x = -32 Add '15' to each side of the equation. -15 + 15 + -1x = -32 + 15 Combine like terms: -15 + 15 = 0 0 + -1x = -32 + 15 -1x = -32 + 15 Combine like terms: -32 + 15 = -17 -1x = -17 Divide each side by '-1'. x = 17 Simplifying x = 17
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