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Simplifying 12x + -3(x + -1) = 5x + 4(3x + -3) Reorder the terms: 12x + -3(-1 + x) = 5x + 4(3x + -3) 12x + (-1 * -3 + x * -3) = 5x + 4(3x + -3) 12x + (3 + -3x) = 5x + 4(3x + -3) Reorder the terms: 3 + 12x + -3x = 5x + 4(3x + -3) Combine like terms: 12x + -3x = 9x 3 + 9x = 5x + 4(3x + -3) Reorder the terms: 3 + 9x = 5x + 4(-3 + 3x) 3 + 9x = 5x + (-3 * 4 + 3x * 4) 3 + 9x = 5x + (-12 + 12x) Reorder the terms: 3 + 9x = -12 + 5x + 12x Combine like terms: 5x + 12x = 17x 3 + 9x = -12 + 17x Solving 3 + 9x = -12 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 3 + 9x + -17x = -12 + 17x + -17x Combine like terms: 9x + -17x = -8x 3 + -8x = -12 + 17x + -17x Combine like terms: 17x + -17x = 0 3 + -8x = -12 + 0 3 + -8x = -12 Add '-3' to each side of the equation. 3 + -3 + -8x = -12 + -3 Combine like terms: 3 + -3 = 0 0 + -8x = -12 + -3 -8x = -12 + -3 Combine like terms: -12 + -3 = -15 -8x = -15 Divide each side by '-8'. x = 1.875 Simplifying x = 1.875
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