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Simplifying 3(4 + -5x) = 7(1 + -1x) + -5x (4 * 3 + -5x * 3) = 7(1 + -1x) + -5x (12 + -15x) = 7(1 + -1x) + -5x 12 + -15x = (1 * 7 + -1x * 7) + -5x 12 + -15x = (7 + -7x) + -5x Combine like terms: -7x + -5x = -12x 12 + -15x = 7 + -12x Solving 12 + -15x = 7 + -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. 12 + -15x + 12x = 7 + -12x + 12x Combine like terms: -15x + 12x = -3x 12 + -3x = 7 + -12x + 12x Combine like terms: -12x + 12x = 0 12 + -3x = 7 + 0 12 + -3x = 7 Add '-12' to each side of the equation. 12 + -12 + -3x = 7 + -12 Combine like terms: 12 + -12 = 0 0 + -3x = 7 + -12 -3x = 7 + -12 Combine like terms: 7 + -12 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667
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