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Simplifying 6x + 3(4 + -1x) = 2x + 15 6x + (4 * 3 + -1x * 3) = 2x + 15 6x + (12 + -3x) = 2x + 15 Reorder the terms: 12 + 6x + -3x = 2x + 15 Combine like terms: 6x + -3x = 3x 12 + 3x = 2x + 15 Reorder the terms: 12 + 3x = 15 + 2x Solving 12 + 3x = 15 + 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 = 15 + 2x + -2x Combine like terms: 3x + -2x = 1x 12 + 1x = 15 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 1x = 15 + 0 12 + 1x = 15 Add '-12' to each side of the equation. 12 + -12 + 1x = 15 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 15 + -12 1x = 15 + -12 Combine like terms: 15 + -12 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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