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Simplifying 3(1x + 1) = 4(3x + -15) Reorder the terms: 3(1 + 1x) = 4(3x + -15) (1 * 3 + 1x * 3) = 4(3x + -15) (3 + 3x) = 4(3x + -15) Reorder the terms: 3 + 3x = 4(-15 + 3x) 3 + 3x = (-15 * 4 + 3x * 4) 3 + 3x = (-60 + 12x) Solving 3 + 3x = -60 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 3 + 3x + -12x = -60 + 12x + -12x Combine like terms: 3x + -12x = -9x 3 + -9x = -60 + 12x + -12x Combine like terms: 12x + -12x = 0 3 + -9x = -60 + 0 3 + -9x = -60 Add '-3' to each side of the equation. 3 + -3 + -9x = -60 + -3 Combine like terms: 3 + -3 = 0 0 + -9x = -60 + -3 -9x = -60 + -3 Combine like terms: -60 + -3 = -63 -9x = -63 Divide each side by '-9'. x = 7 Simplifying x = 7
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