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Simplifying 2x + -3(x + 4) = 3x + -2x + 18 Reorder the terms: 2x + -3(4 + x) = 3x + -2x + 18 2x + (4 * -3 + x * -3) = 3x + -2x + 18 2x + (-12 + -3x) = 3x + -2x + 18 Reorder the terms: -12 + 2x + -3x = 3x + -2x + 18 Combine like terms: 2x + -3x = -1x -12 + -1x = 3x + -2x + 18 Reorder the terms: -12 + -1x = 18 + 3x + -2x Combine like terms: 3x + -2x = 1x -12 + -1x = 18 + 1x Solving -12 + -1x = 18 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -12 + -1x + -1x = 18 + 1x + -1x Combine like terms: -1x + -1x = -2x -12 + -2x = 18 + 1x + -1x Combine like terms: 1x + -1x = 0 -12 + -2x = 18 + 0 -12 + -2x = 18 Add '12' to each side of the equation. -12 + 12 + -2x = 18 + 12 Combine like terms: -12 + 12 = 0 0 + -2x = 18 + 12 -2x = 18 + 12 Combine like terms: 18 + 12 = 30 -2x = 30 Divide each side by '-2'. x = -15 Simplifying x = -15
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