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Simplifying 3(x + 4) = 10 + -2(x + 7) Reorder the terms: 3(4 + x) = 10 + -2(x + 7) (4 * 3 + x * 3) = 10 + -2(x + 7) (12 + 3x) = 10 + -2(x + 7) Reorder the terms: 12 + 3x = 10 + -2(7 + x) 12 + 3x = 10 + (7 * -2 + x * -2) 12 + 3x = 10 + (-14 + -2x) Combine like terms: 10 + -14 = -4 12 + 3x = -4 + -2x Solving 12 + 3x = -4 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 12 + 3x + 2x = -4 + -2x + 2x Combine like terms: 3x + 2x = 5x 12 + 5x = -4 + -2x + 2x Combine like terms: -2x + 2x = 0 12 + 5x = -4 + 0 12 + 5x = -4 Add '-12' to each side of the equation. 12 + -12 + 5x = -4 + -12 Combine like terms: 12 + -12 = 0 0 + 5x = -4 + -12 5x = -4 + -12 Combine like terms: -4 + -12 = -16 5x = -16 Divide each side by '5'. x = -3.2 Simplifying x = -3.2
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