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Simplifying 3(x + -5) + 3 = 2(x + 9) Reorder the terms: 3(-5 + x) + 3 = 2(x + 9) (-5 * 3 + x * 3) + 3 = 2(x + 9) (-15 + 3x) + 3 = 2(x + 9) Reorder the terms: -15 + 3 + 3x = 2(x + 9) Combine like terms: -15 + 3 = -12 -12 + 3x = 2(x + 9) Reorder the terms: -12 + 3x = 2(9 + x) -12 + 3x = (9 * 2 + x * 2) -12 + 3x = (18 + 2x) Solving -12 + 3x = 18 + 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 = 18 + 2x + -2x Combine like terms: 3x + -2x = 1x -12 + 1x = 18 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 1x = 18 + 0 -12 + 1x = 18 Add '12' to each side of the equation. -12 + 12 + 1x = 18 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = 18 + 12 1x = 18 + 12 Combine like terms: 18 + 12 = 30 1x = 30 Divide each side by '1'. x = 30 Simplifying x = 30
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