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Simplifying 2(x + -3) + 8 = 4(5x + -1) + -2x + 2 Reorder the terms: 2(-3 + x) + 8 = 4(5x + -1) + -2x + 2 (-3 * 2 + x * 2) + 8 = 4(5x + -1) + -2x + 2 (-6 + 2x) + 8 = 4(5x + -1) + -2x + 2 Reorder the terms: -6 + 8 + 2x = 4(5x + -1) + -2x + 2 Combine like terms: -6 + 8 = 2 2 + 2x = 4(5x + -1) + -2x + 2 Reorder the terms: 2 + 2x = 4(-1 + 5x) + -2x + 2 2 + 2x = (-1 * 4 + 5x * 4) + -2x + 2 2 + 2x = (-4 + 20x) + -2x + 2 Reorder the terms: 2 + 2x = -4 + 2 + 20x + -2x Combine like terms: -4 + 2 = -2 2 + 2x = -2 + 20x + -2x Combine like terms: 20x + -2x = 18x 2 + 2x = -2 + 18x Solving 2 + 2x = -2 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 2 + 2x + -18x = -2 + 18x + -18x Combine like terms: 2x + -18x = -16x 2 + -16x = -2 + 18x + -18x Combine like terms: 18x + -18x = 0 2 + -16x = -2 + 0 2 + -16x = -2 Add '-2' to each side of the equation. 2 + -2 + -16x = -2 + -2 Combine like terms: 2 + -2 = 0 0 + -16x = -2 + -2 -16x = -2 + -2 Combine like terms: -2 + -2 = -4 -16x = -4 Divide each side by '-16'. x = 0.25 Simplifying x = 0.25
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