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Simplifying 3x + -4(x + -2) = 15 + -3(x + -2) Reorder the terms: 3x + -4(-2 + x) = 15 + -3(x + -2) 3x + (-2 * -4 + x * -4) = 15 + -3(x + -2) 3x + (8 + -4x) = 15 + -3(x + -2) Reorder the terms: 8 + 3x + -4x = 15 + -3(x + -2) Combine like terms: 3x + -4x = -1x 8 + -1x = 15 + -3(x + -2) Reorder the terms: 8 + -1x = 15 + -3(-2 + x) 8 + -1x = 15 + (-2 * -3 + x * -3) 8 + -1x = 15 + (6 + -3x) Combine like terms: 15 + 6 = 21 8 + -1x = 21 + -3x Solving 8 + -1x = 21 + -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. 8 + -1x + 3x = 21 + -3x + 3x Combine like terms: -1x + 3x = 2x 8 + 2x = 21 + -3x + 3x Combine like terms: -3x + 3x = 0 8 + 2x = 21 + 0 8 + 2x = 21 Add '-8' to each side of the equation. 8 + -8 + 2x = 21 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 21 + -8 2x = 21 + -8 Combine like terms: 21 + -8 = 13 2x = 13 Divide each side by '2'. x = 6.5 Simplifying x = 6.5
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