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Simplifying 8 + 3x = 2x + 3(x + -4) Reorder the terms: 8 + 3x = 2x + 3(-4 + x) 8 + 3x = 2x + (-4 * 3 + x * 3) 8 + 3x = 2x + (-12 + 3x) Reorder the terms: 8 + 3x = -12 + 2x + 3x Combine like terms: 2x + 3x = 5x 8 + 3x = -12 + 5x Solving 8 + 3x = -12 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 8 + 3x + -5x = -12 + 5x + -5x Combine like terms: 3x + -5x = -2x 8 + -2x = -12 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + -2x = -12 + 0 8 + -2x = -12 Add '-8' to each side of the equation. 8 + -8 + -2x = -12 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = -12 + -8 -2x = -12 + -8 Combine like terms: -12 + -8 = -20 -2x = -20 Divide each side by '-2'. x = 10 Simplifying x = 10
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