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Simplifying 2(x + -4) + 5(x + 3) = 3x + -12 + 2 Reorder the terms: 2(-4 + x) + 5(x + 3) = 3x + -12 + 2 (-4 * 2 + x * 2) + 5(x + 3) = 3x + -12 + 2 (-8 + 2x) + 5(x + 3) = 3x + -12 + 2 Reorder the terms: -8 + 2x + 5(3 + x) = 3x + -12 + 2 -8 + 2x + (3 * 5 + x * 5) = 3x + -12 + 2 -8 + 2x + (15 + 5x) = 3x + -12 + 2 Reorder the terms: -8 + 15 + 2x + 5x = 3x + -12 + 2 Combine like terms: -8 + 15 = 7 7 + 2x + 5x = 3x + -12 + 2 Combine like terms: 2x + 5x = 7x 7 + 7x = 3x + -12 + 2 Reorder the terms: 7 + 7x = -12 + 2 + 3x Combine like terms: -12 + 2 = -10 7 + 7x = -10 + 3x Solving 7 + 7x = -10 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 7 + 7x + -3x = -10 + 3x + -3x Combine like terms: 7x + -3x = 4x 7 + 4x = -10 + 3x + -3x Combine like terms: 3x + -3x = 0 7 + 4x = -10 + 0 7 + 4x = -10 Add '-7' to each side of the equation. 7 + -7 + 4x = -10 + -7 Combine like terms: 7 + -7 = 0 0 + 4x = -10 + -7 4x = -10 + -7 Combine like terms: -10 + -7 = -17 4x = -17 Divide each side by '4'. x = -4.25 Simplifying x = -4.25
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