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Simplifying 0.5(x + -5) + 1 = 2(x + -10) + -3 Reorder the terms: 0.5(-5 + x) + 1 = 2(x + -10) + -3 (-5 * 0.5 + x * 0.5) + 1 = 2(x + -10) + -3 (-2.5 + 0.5x) + 1 = 2(x + -10) + -3 Reorder the terms: -2.5 + 1 + 0.5x = 2(x + -10) + -3 Combine like terms: -2.5 + 1 = -1.5 -1.5 + 0.5x = 2(x + -10) + -3 Reorder the terms: -1.5 + 0.5x = 2(-10 + x) + -3 -1.5 + 0.5x = (-10 * 2 + x * 2) + -3 -1.5 + 0.5x = (-20 + 2x) + -3 Reorder the terms: -1.5 + 0.5x = -20 + -3 + 2x Combine like terms: -20 + -3 = -23 -1.5 + 0.5x = -23 + 2x Solving -1.5 + 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. -1.5 + 0.5x + -2x = -23 + 2x + -2x Combine like terms: 0.5x + -2x = -1.5x -1.5 + -1.5x = -23 + 2x + -2x Combine like terms: 2x + -2x = 0 -1.5 + -1.5x = -23 + 0 -1.5 + -1.5x = -23 Add '1.5' to each side of the equation. -1.5 + 1.5 + -1.5x = -23 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + -1.5x = -23 + 1.5 -1.5x = -23 + 1.5 Combine like terms: -23 + 1.5 = -21.5 -1.5x = -21.5 Divide each side by '-1.5'. x = 14.33333333 Simplifying x = 14.33333333
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