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Simplifying 3(x + -4) + 30 = 2(x + 40) Reorder the terms: 3(-4 + x) + 30 = 2(x + 40) (-4 * 3 + x * 3) + 30 = 2(x + 40) (-12 + 3x) + 30 = 2(x + 40) Reorder the terms: -12 + 30 + 3x = 2(x + 40) Combine like terms: -12 + 30 = 18 18 + 3x = 2(x + 40) Reorder the terms: 18 + 3x = 2(40 + x) 18 + 3x = (40 * 2 + x * 2) 18 + 3x = (80 + 2x) Solving 18 + 3x = 80 + 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. 18 + 3x + -2x = 80 + 2x + -2x Combine like terms: 3x + -2x = 1x 18 + 1x = 80 + 2x + -2x Combine like terms: 2x + -2x = 0 18 + 1x = 80 + 0 18 + 1x = 80 Add '-18' to each side of the equation. 18 + -18 + 1x = 80 + -18 Combine like terms: 18 + -18 = 0 0 + 1x = 80 + -18 1x = 80 + -18 Combine like terms: 80 + -18 = 62 1x = 62 Divide each side by '1'. x = 62 Simplifying x = 62
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