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Simplifying 4x + -1(8 + -2x) + 7 + -3x + 15 + -2(x + 4) = 0 4x + (8 * -1 + -2x * -1) + 7 + -3x + 15 + -2(x + 4) = 0 4x + (-8 + 2x) + 7 + -3x + 15 + -2(x + 4) = 0 Reorder the terms: 4x + -8 + 2x + 7 + -3x + 15 + -2(4 + x) = 0 4x + -8 + 2x + 7 + -3x + 15 + (4 * -2 + x * -2) = 0 4x + -8 + 2x + 7 + -3x + 15 + (-8 + -2x) = 0 Reorder the terms: -8 + 7 + 15 + -8 + 4x + 2x + -3x + -2x = 0 Combine like terms: -8 + 7 = -1 -1 + 15 + -8 + 4x + 2x + -3x + -2x = 0 Combine like terms: -1 + 15 = 14 14 + -8 + 4x + 2x + -3x + -2x = 0 Combine like terms: 14 + -8 = 6 6 + 4x + 2x + -3x + -2x = 0 Combine like terms: 4x + 2x = 6x 6 + 6x + -3x + -2x = 0 Combine like terms: 6x + -3x = 3x 6 + 3x + -2x = 0 Combine like terms: 3x + -2x = 1x 6 + 1x = 0 Solving 6 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 0 + -6 1x = 0 + -6 Combine like terms: 0 + -6 = -6 1x = -6 Divide each side by '1'. x = -6 Simplifying x = -6
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