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Simplifying 0.5(x + -6) + 1 = 2(x + -10) + -3 Reorder the terms: 0.5(-6 + x) + 1 = 2(x + -10) + -3 (-6 * 0.5 + x * 0.5) + 1 = 2(x + -10) + -3 (-3 + 0.5x) + 1 = 2(x + -10) + -3 Reorder the terms: -3 + 1 + 0.5x = 2(x + -10) + -3 Combine like terms: -3 + 1 = -2 -2 + 0.5x = 2(x + -10) + -3 Reorder the terms: -2 + 0.5x = 2(-10 + x) + -3 -2 + 0.5x = (-10 * 2 + x * 2) + -3 -2 + 0.5x = (-20 + 2x) + -3 Reorder the terms: -2 + 0.5x = -20 + -3 + 2x Combine like terms: -20 + -3 = -23 -2 + 0.5x = -23 + 2x Solving -2 + 0.5x = -23 + 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. -2 + 0.5x + -2x = -23 + 2x + -2x Combine like terms: 0.5x + -2x = -1.5x -2 + -1.5x = -23 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + -1.5x = -23 + 0 -2 + -1.5x = -23 Add '2' to each side of the equation. -2 + 2 + -1.5x = -23 + 2 Combine like terms: -2 + 2 = 0 0 + -1.5x = -23 + 2 -1.5x = -23 + 2 Combine like terms: -23 + 2 = -21 -1.5x = -21 Divide each side by '-1.5'. x = 14 Simplifying x = 14
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