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