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Simplifying 6(x + 1) + -2(x + -3) = 15 Reorder the terms: 6(1 + x) + -2(x + -3) = 15 (1 * 6 + x * 6) + -2(x + -3) = 15 (6 + 6x) + -2(x + -3) = 15 Reorder the terms: 6 + 6x + -2(-3 + x) = 15 6 + 6x + (-3 * -2 + x * -2) = 15 6 + 6x + (6 + -2x) = 15 Reorder the terms: 6 + 6 + 6x + -2x = 15 Combine like terms: 6 + 6 = 12 12 + 6x + -2x = 15 Combine like terms: 6x + -2x = 4x 12 + 4x = 15 Solving 12 + 4x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 4x = 15 + -12 Combine like terms: 12 + -12 = 0 0 + 4x = 15 + -12 4x = 15 + -12 Combine like terms: 15 + -12 = 3 4x = 3 Divide each side by '4'. x = 0.75 Simplifying x = 0.75
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