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Simplifying -4(3x + -3) + -5 = 4(-2x + -1) + 3 Reorder the terms: -4(-3 + 3x) + -5 = 4(-2x + -1) + 3 (-3 * -4 + 3x * -4) + -5 = 4(-2x + -1) + 3 (12 + -12x) + -5 = 4(-2x + -1) + 3 Reorder the terms: 12 + -5 + -12x = 4(-2x + -1) + 3 Combine like terms: 12 + -5 = 7 7 + -12x = 4(-2x + -1) + 3 Reorder the terms: 7 + -12x = 4(-1 + -2x) + 3 7 + -12x = (-1 * 4 + -2x * 4) + 3 7 + -12x = (-4 + -8x) + 3 Reorder the terms: 7 + -12x = -4 + 3 + -8x Combine like terms: -4 + 3 = -1 7 + -12x = -1 + -8x Solving 7 + -12x = -1 + -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. 7 + -12x + 8x = -1 + -8x + 8x Combine like terms: -12x + 8x = -4x 7 + -4x = -1 + -8x + 8x Combine like terms: -8x + 8x = 0 7 + -4x = -1 + 0 7 + -4x = -1 Add '-7' to each side of the equation. 7 + -7 + -4x = -1 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = -1 + -7 -4x = -1 + -7 Combine like terms: -1 + -7 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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