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Simplifying 5(x + -3) + -2 = -3(-4x + 1) + -3x Reorder the terms: 5(-3 + x) + -2 = -3(-4x + 1) + -3x (-3 * 5 + x * 5) + -2 = -3(-4x + 1) + -3x (-15 + 5x) + -2 = -3(-4x + 1) + -3x Reorder the terms: -15 + -2 + 5x = -3(-4x + 1) + -3x Combine like terms: -15 + -2 = -17 -17 + 5x = -3(-4x + 1) + -3x Reorder the terms: -17 + 5x = -3(1 + -4x) + -3x -17 + 5x = (1 * -3 + -4x * -3) + -3x -17 + 5x = (-3 + 12x) + -3x Combine like terms: 12x + -3x = 9x -17 + 5x = -3 + 9x Solving -17 + 5x = -3 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -17 + 5x + -9x = -3 + 9x + -9x Combine like terms: 5x + -9x = -4x -17 + -4x = -3 + 9x + -9x Combine like terms: 9x + -9x = 0 -17 + -4x = -3 + 0 -17 + -4x = -3 Add '17' to each side of the equation. -17 + 17 + -4x = -3 + 17 Combine like terms: -17 + 17 = 0 0 + -4x = -3 + 17 -4x = -3 + 17 Combine like terms: -3 + 17 = 14 -4x = 14 Divide each side by '-4'. x = -3.5 Simplifying x = -3.5
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