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Simplifying -2(x + -3) + 5(x + -1) = 8x + 4 Reorder the terms: -2(-3 + x) + 5(x + -1) = 8x + 4 (-3 * -2 + x * -2) + 5(x + -1) = 8x + 4 (6 + -2x) + 5(x + -1) = 8x + 4 Reorder the terms: 6 + -2x + 5(-1 + x) = 8x + 4 6 + -2x + (-1 * 5 + x * 5) = 8x + 4 6 + -2x + (-5 + 5x) = 8x + 4 Reorder the terms: 6 + -5 + -2x + 5x = 8x + 4 Combine like terms: 6 + -5 = 1 1 + -2x + 5x = 8x + 4 Combine like terms: -2x + 5x = 3x 1 + 3x = 8x + 4 Reorder the terms: 1 + 3x = 4 + 8x Solving 1 + 3x = 4 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 1 + 3x + -8x = 4 + 8x + -8x Combine like terms: 3x + -8x = -5x 1 + -5x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 1 + -5x = 4 + 0 1 + -5x = 4 Add '-1' to each side of the equation. 1 + -1 + -5x = 4 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 4 + -1 -5x = 4 + -1 Combine like terms: 4 + -1 = 3 -5x = 3 Divide each side by '-5'. x = -0.6 Simplifying x = -0.6
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