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Simplifying 12(3x + 3) + -7(2 * -2) = 12x + -10 Reorder the terms: 12(3 + 3x) + -7(2 * -2) = 12x + -10 (3 * 12 + 3x * 12) + -7(2 * -2) = 12x + -10 (36 + 36x) + -7(2 * -2) = 12x + -10 Multiply 2 * -2 36 + 36x + -7(-4) = 12x + -10 Multiply -7 * -4 36 + 36x + 28 = 12x + -10 Reorder the terms: 36 + 28 + 36x = 12x + -10 Combine like terms: 36 + 28 = 64 64 + 36x = 12x + -10 Reorder the terms: 64 + 36x = -10 + 12x Solving 64 + 36x = -10 + 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. 64 + 36x + -12x = -10 + 12x + -12x Combine like terms: 36x + -12x = 24x 64 + 24x = -10 + 12x + -12x Combine like terms: 12x + -12x = 0 64 + 24x = -10 + 0 64 + 24x = -10 Add '-64' to each side of the equation. 64 + -64 + 24x = -10 + -64 Combine like terms: 64 + -64 = 0 0 + 24x = -10 + -64 24x = -10 + -64 Combine like terms: -10 + -64 = -74 24x = -74 Divide each side by '24'. x = -3.083333333 Simplifying x = -3.083333333
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