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Simplifying -3(-6x + 5) + -6x = 4(x + -3) + -9 Reorder the terms: -3(5 + -6x) + -6x = 4(x + -3) + -9 (5 * -3 + -6x * -3) + -6x = 4(x + -3) + -9 (-15 + 18x) + -6x = 4(x + -3) + -9 Combine like terms: 18x + -6x = 12x -15 + 12x = 4(x + -3) + -9 Reorder the terms: -15 + 12x = 4(-3 + x) + -9 -15 + 12x = (-3 * 4 + x * 4) + -9 -15 + 12x = (-12 + 4x) + -9 Reorder the terms: -15 + 12x = -12 + -9 + 4x Combine like terms: -12 + -9 = -21 -15 + 12x = -21 + 4x Solving -15 + 12x = -21 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -15 + 12x + -4x = -21 + 4x + -4x Combine like terms: 12x + -4x = 8x -15 + 8x = -21 + 4x + -4x Combine like terms: 4x + -4x = 0 -15 + 8x = -21 + 0 -15 + 8x = -21 Add '15' to each side of the equation. -15 + 15 + 8x = -21 + 15 Combine like terms: -15 + 15 = 0 0 + 8x = -21 + 15 8x = -21 + 15 Combine like terms: -21 + 15 = -6 8x = -6 Divide each side by '8'. x = -0.75 Simplifying x = -0.75
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