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Simplifying -3(2x + 5) + -2 = -4(x + -3) + 3x Reorder the terms: -3(5 + 2x) + -2 = -4(x + -3) + 3x (5 * -3 + 2x * -3) + -2 = -4(x + -3) + 3x (-15 + -6x) + -2 = -4(x + -3) + 3x Reorder the terms: -15 + -2 + -6x = -4(x + -3) + 3x Combine like terms: -15 + -2 = -17 -17 + -6x = -4(x + -3) + 3x Reorder the terms: -17 + -6x = -4(-3 + x) + 3x -17 + -6x = (-3 * -4 + x * -4) + 3x -17 + -6x = (12 + -4x) + 3x Combine like terms: -4x + 3x = -1x -17 + -6x = 12 + -1x Solving -17 + -6x = 12 + -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. -17 + -6x + x = 12 + -1x + x Combine like terms: -6x + x = -5x -17 + -5x = 12 + -1x + x Combine like terms: -1x + x = 0 -17 + -5x = 12 + 0 -17 + -5x = 12 Add '17' to each side of the equation. -17 + 17 + -5x = 12 + 17 Combine like terms: -17 + 17 = 0 0 + -5x = 12 + 17 -5x = 12 + 17 Combine like terms: 12 + 17 = 29 -5x = 29 Divide each side by '-5'. x = -5.8 Simplifying x = -5.8
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