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Simplifying 4(x + -2) + -2(x + 3) = 15 + x Reorder the terms: 4(-2 + x) + -2(x + 3) = 15 + x (-2 * 4 + x * 4) + -2(x + 3) = 15 + x (-8 + 4x) + -2(x + 3) = 15 + x Reorder the terms: -8 + 4x + -2(3 + x) = 15 + x -8 + 4x + (3 * -2 + x * -2) = 15 + x -8 + 4x + (-6 + -2x) = 15 + x Reorder the terms: -8 + -6 + 4x + -2x = 15 + x Combine like terms: -8 + -6 = -14 -14 + 4x + -2x = 15 + x Combine like terms: 4x + -2x = 2x -14 + 2x = 15 + x Solving -14 + 2x = 15 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -14 + 2x + -1x = 15 + x + -1x Combine like terms: 2x + -1x = 1x -14 + 1x = 15 + x + -1x Combine like terms: x + -1x = 0 -14 + 1x = 15 + 0 -14 + 1x = 15 Add '14' to each side of the equation. -14 + 14 + 1x = 15 + 14 Combine like terms: -14 + 14 = 0 0 + 1x = 15 + 14 1x = 15 + 14 Combine like terms: 15 + 14 = 29 1x = 29 Divide each side by '1'. x = 29 Simplifying x = 29
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