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Simplifying 3(x + 2) + -4x = 3x + 15 Reorder the terms: 3(2 + x) + -4x = 3x + 15 (2 * 3 + x * 3) + -4x = 3x + 15 (6 + 3x) + -4x = 3x + 15 Combine like terms: 3x + -4x = -1x 6 + -1x = 3x + 15 Reorder the terms: 6 + -1x = 15 + 3x Solving 6 + -1x = 15 + 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. 6 + -1x + -3x = 15 + 3x + -3x Combine like terms: -1x + -3x = -4x 6 + -4x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + -4x = 15 + 0 6 + -4x = 15 Add '-6' to each side of the equation. 6 + -6 + -4x = 15 + -6 Combine like terms: 6 + -6 = 0 0 + -4x = 15 + -6 -4x = 15 + -6 Combine like terms: 15 + -6 = 9 -4x = 9 Divide each side by '-4'. x = -2.25 Simplifying x = -2.25
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