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Simplifying 4x + -1(x + 8) = 6(x + -3) + -4x Reorder the terms: 4x + -1(8 + x) = 6(x + -3) + -4x 4x + (8 * -1 + x * -1) = 6(x + -3) + -4x 4x + (-8 + -1x) = 6(x + -3) + -4x Reorder the terms: -8 + 4x + -1x = 6(x + -3) + -4x Combine like terms: 4x + -1x = 3x -8 + 3x = 6(x + -3) + -4x Reorder the terms: -8 + 3x = 6(-3 + x) + -4x -8 + 3x = (-3 * 6 + x * 6) + -4x -8 + 3x = (-18 + 6x) + -4x Combine like terms: 6x + -4x = 2x -8 + 3x = -18 + 2x Solving -8 + 3x = -18 + 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. -8 + 3x + -2x = -18 + 2x + -2x Combine like terms: 3x + -2x = 1x -8 + 1x = -18 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + 1x = -18 + 0 -8 + 1x = -18 Add '8' to each side of the equation. -8 + 8 + 1x = -18 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = -18 + 8 1x = -18 + 8 Combine like terms: -18 + 8 = -10 1x = -10 Divide each side by '1'. x = -10 Simplifying x = -10
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