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Simplifying 3(x + 4) + -7(x + -2) = 12(x + 4) + -3 Reorder the terms: 3(4 + x) + -7(x + -2) = 12(x + 4) + -3 (4 * 3 + x * 3) + -7(x + -2) = 12(x + 4) + -3 (12 + 3x) + -7(x + -2) = 12(x + 4) + -3 Reorder the terms: 12 + 3x + -7(-2 + x) = 12(x + 4) + -3 12 + 3x + (-2 * -7 + x * -7) = 12(x + 4) + -3 12 + 3x + (14 + -7x) = 12(x + 4) + -3 Reorder the terms: 12 + 14 + 3x + -7x = 12(x + 4) + -3 Combine like terms: 12 + 14 = 26 26 + 3x + -7x = 12(x + 4) + -3 Combine like terms: 3x + -7x = -4x 26 + -4x = 12(x + 4) + -3 Reorder the terms: 26 + -4x = 12(4 + x) + -3 26 + -4x = (4 * 12 + x * 12) + -3 26 + -4x = (48 + 12x) + -3 Reorder the terms: 26 + -4x = 48 + -3 + 12x Combine like terms: 48 + -3 = 45 26 + -4x = 45 + 12x Solving 26 + -4x = 45 + 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. 26 + -4x + -12x = 45 + 12x + -12x Combine like terms: -4x + -12x = -16x 26 + -16x = 45 + 12x + -12x Combine like terms: 12x + -12x = 0 26 + -16x = 45 + 0 26 + -16x = 45 Add '-26' to each side of the equation. 26 + -26 + -16x = 45 + -26 Combine like terms: 26 + -26 = 0 0 + -16x = 45 + -26 -16x = 45 + -26 Combine like terms: 45 + -26 = 19 -16x = 19 Divide each side by '-16'. x = -1.1875 Simplifying x = -1.1875
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