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Simplifying 2(5x + -1) + 8 = 2(x + -3) + -18 Reorder the terms: 2(-1 + 5x) + 8 = 2(x + -3) + -18 (-1 * 2 + 5x * 2) + 8 = 2(x + -3) + -18 (-2 + 10x) + 8 = 2(x + -3) + -18 Reorder the terms: -2 + 8 + 10x = 2(x + -3) + -18 Combine like terms: -2 + 8 = 6 6 + 10x = 2(x + -3) + -18 Reorder the terms: 6 + 10x = 2(-3 + x) + -18 6 + 10x = (-3 * 2 + x * 2) + -18 6 + 10x = (-6 + 2x) + -18 Reorder the terms: 6 + 10x = -6 + -18 + 2x Combine like terms: -6 + -18 = -24 6 + 10x = -24 + 2x Solving 6 + 10x = -24 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 6 + 10x + -2x = -24 + 2x + -2x Combine like terms: 10x + -2x = 8x 6 + 8x = -24 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + 8x = -24 + 0 6 + 8x = -24 Add '-6' to each side of the equation. 6 + -6 + 8x = -24 + -6 Combine like terms: 6 + -6 = 0 0 + 8x = -24 + -6 8x = -24 + -6 Combine like terms: -24 + -6 = -30 8x = -30 Divide each side by '8'. x = -3.75 Simplifying x = -3.75
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