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Simplifying 4(-6 + -4x) + 3(x + -2) = -2x + -8x (-6 * 4 + -4x * 4) + 3(x + -2) = -2x + -8x (-24 + -16x) + 3(x + -2) = -2x + -8x Reorder the terms: -24 + -16x + 3(-2 + x) = -2x + -8x -24 + -16x + (-2 * 3 + x * 3) = -2x + -8x -24 + -16x + (-6 + 3x) = -2x + -8x Reorder the terms: -24 + -6 + -16x + 3x = -2x + -8x Combine like terms: -24 + -6 = -30 -30 + -16x + 3x = -2x + -8x Combine like terms: -16x + 3x = -13x -30 + -13x = -2x + -8x Combine like terms: -2x + -8x = -10x -30 + -13x = -10x Solving -30 + -13x = -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -30 + -13x + 10x = -10x + 10x Combine like terms: -13x + 10x = -3x -30 + -3x = -10x + 10x Combine like terms: -10x + 10x = 0 -30 + -3x = 0 Add '30' to each side of the equation. -30 + 30 + -3x = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -3x = 0 + 30 -3x = 0 + 30 Combine like terms: 0 + 30 = 30 -3x = 30 Divide each side by '-3'. x = -10 Simplifying x = -10
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