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Simplifying 3x + -18 + -2x + 3 = 3x + 10 Reorder the terms: -18 + 3 + 3x + -2x = 3x + 10 Combine like terms: -18 + 3 = -15 -15 + 3x + -2x = 3x + 10 Combine like terms: 3x + -2x = 1x -15 + 1x = 3x + 10 Reorder the terms: -15 + 1x = 10 + 3x Solving -15 + 1x = 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. -15 + 1x + -3x = 10 + 3x + -3x Combine like terms: 1x + -3x = -2x -15 + -2x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 -15 + -2x = 10 + 0 -15 + -2x = 10 Add '15' to each side of the equation. -15 + 15 + -2x = 10 + 15 Combine like terms: -15 + 15 = 0 0 + -2x = 10 + 15 -2x = 10 + 15 Combine like terms: 10 + 15 = 25 -2x = 25 Divide each side by '-2'. x = -12.5 Simplifying x = -12.5
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