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Simplifying 3x + 2(x + -2) = 3x + -15 + 3x Reorder the terms: 3x + 2(-2 + x) = 3x + -15 + 3x 3x + (-2 * 2 + x * 2) = 3x + -15 + 3x 3x + (-4 + 2x) = 3x + -15 + 3x Reorder the terms: -4 + 3x + 2x = 3x + -15 + 3x Combine like terms: 3x + 2x = 5x -4 + 5x = 3x + -15 + 3x Reorder the terms: -4 + 5x = -15 + 3x + 3x Combine like terms: 3x + 3x = 6x -4 + 5x = -15 + 6x Solving -4 + 5x = -15 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -4 + 5x + -6x = -15 + 6x + -6x Combine like terms: 5x + -6x = -1x -4 + -1x = -15 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + -1x = -15 + 0 -4 + -1x = -15 Add '4' to each side of the equation. -4 + 4 + -1x = -15 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = -15 + 4 -1x = -15 + 4 Combine like terms: -15 + 4 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11
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