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Simplifying -1(3x + 8) + -7x = 2x + 8(-6 + -1x) Reorder the terms: -1(8 + 3x) + -7x = 2x + 8(-6 + -1x) (8 * -1 + 3x * -1) + -7x = 2x + 8(-6 + -1x) (-8 + -3x) + -7x = 2x + 8(-6 + -1x) Combine like terms: -3x + -7x = -10x -8 + -10x = 2x + 8(-6 + -1x) -8 + -10x = 2x + (-6 * 8 + -1x * 8) -8 + -10x = 2x + (-48 + -8x) Reorder the terms: -8 + -10x = -48 + 2x + -8x Combine like terms: 2x + -8x = -6x -8 + -10x = -48 + -6x Solving -8 + -10x = -48 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -8 + -10x + 6x = -48 + -6x + 6x Combine like terms: -10x + 6x = -4x -8 + -4x = -48 + -6x + 6x Combine like terms: -6x + 6x = 0 -8 + -4x = -48 + 0 -8 + -4x = -48 Add '8' to each side of the equation. -8 + 8 + -4x = -48 + 8 Combine like terms: -8 + 8 = 0 0 + -4x = -48 + 8 -4x = -48 + 8 Combine like terms: -48 + 8 = -40 -4x = -40 Divide each side by '-4'. x = 10 Simplifying x = 10
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