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Simplifying -2(1 + -5x) + -2x = -4(-6x + 3) + -6 (1 * -2 + -5x * -2) + -2x = -4(-6x + 3) + -6 (-2 + 10x) + -2x = -4(-6x + 3) + -6 Combine like terms: 10x + -2x = 8x -2 + 8x = -4(-6x + 3) + -6 Reorder the terms: -2 + 8x = -4(3 + -6x) + -6 -2 + 8x = (3 * -4 + -6x * -4) + -6 -2 + 8x = (-12 + 24x) + -6 Reorder the terms: -2 + 8x = -12 + -6 + 24x Combine like terms: -12 + -6 = -18 -2 + 8x = -18 + 24x Solving -2 + 8x = -18 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -2 + 8x + -24x = -18 + 24x + -24x Combine like terms: 8x + -24x = -16x -2 + -16x = -18 + 24x + -24x Combine like terms: 24x + -24x = 0 -2 + -16x = -18 + 0 -2 + -16x = -18 Add '2' to each side of the equation. -2 + 2 + -16x = -18 + 2 Combine like terms: -2 + 2 = 0 0 + -16x = -18 + 2 -16x = -18 + 2 Combine like terms: -18 + 2 = -16 -16x = -16 Divide each side by '-16'. x = 1 Simplifying x = 1
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