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Simplifying 3(x + -4) + 18 = 2(x + 5) Reorder the terms: 3(-4 + x) + 18 = 2(x + 5) (-4 * 3 + x * 3) + 18 = 2(x + 5) (-12 + 3x) + 18 = 2(x + 5) Reorder the terms: -12 + 18 + 3x = 2(x + 5) Combine like terms: -12 + 18 = 6 6 + 3x = 2(x + 5) Reorder the terms: 6 + 3x = 2(5 + x) 6 + 3x = (5 * 2 + x * 2) 6 + 3x = (10 + 2x) Solving 6 + 3x = 10 + 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. 6 + 3x + -2x = 10 + 2x + -2x Combine like terms: 3x + -2x = 1x 6 + 1x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + 1x = 10 + 0 6 + 1x = 10 Add '-6' to each side of the equation. 6 + -6 + 1x = 10 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 10 + -6 1x = 10 + -6 Combine like terms: 10 + -6 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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