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Simplifying -2(6 + -1x) + 4x = 8(2x + 5) (6 * -2 + -1x * -2) + 4x = 8(2x + 5) (-12 + 2x) + 4x = 8(2x + 5) Combine like terms: 2x + 4x = 6x -12 + 6x = 8(2x + 5) Reorder the terms: -12 + 6x = 8(5 + 2x) -12 + 6x = (5 * 8 + 2x * 8) -12 + 6x = (40 + 16x) Solving -12 + 6x = 40 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -12 + 6x + -16x = 40 + 16x + -16x Combine like terms: 6x + -16x = -10x -12 + -10x = 40 + 16x + -16x Combine like terms: 16x + -16x = 0 -12 + -10x = 40 + 0 -12 + -10x = 40 Add '12' to each side of the equation. -12 + 12 + -10x = 40 + 12 Combine like terms: -12 + 12 = 0 0 + -10x = 40 + 12 -10x = 40 + 12 Combine like terms: 40 + 12 = 52 -10x = 52 Divide each side by '-10'. x = -5.2 Simplifying x = -5.2
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