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Simplifying -4(x + 6) + 2(-8 + -1x) = 10 + 2x Reorder the terms: -4(6 + x) + 2(-8 + -1x) = 10 + 2x (6 * -4 + x * -4) + 2(-8 + -1x) = 10 + 2x (-24 + -4x) + 2(-8 + -1x) = 10 + 2x -24 + -4x + (-8 * 2 + -1x * 2) = 10 + 2x -24 + -4x + (-16 + -2x) = 10 + 2x Reorder the terms: -24 + -16 + -4x + -2x = 10 + 2x Combine like terms: -24 + -16 = -40 -40 + -4x + -2x = 10 + 2x Combine like terms: -4x + -2x = -6x -40 + -6x = 10 + 2x Solving -40 + -6x = 10 + 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. -40 + -6x + -2x = 10 + 2x + -2x Combine like terms: -6x + -2x = -8x -40 + -8x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -40 + -8x = 10 + 0 -40 + -8x = 10 Add '40' to each side of the equation. -40 + 40 + -8x = 10 + 40 Combine like terms: -40 + 40 = 0 0 + -8x = 10 + 40 -8x = 10 + 40 Combine like terms: 10 + 40 = 50 -8x = 50 Divide each side by '-8'. x = -6.25 Simplifying x = -6.25
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