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Simplifying 0.5(x + -6) + 1 = 2x + -10 + -3 Reorder the terms: 0.5(-6 + x) + 1 = 2x + -10 + -3 (-6 * 0.5 + x * 0.5) + 1 = 2x + -10 + -3 (-3 + 0.5x) + 1 = 2x + -10 + -3 Reorder the terms: -3 + 1 + 0.5x = 2x + -10 + -3 Combine like terms: -3 + 1 = -2 -2 + 0.5x = 2x + -10 + -3 Reorder the terms: -2 + 0.5x = -10 + -3 + 2x Combine like terms: -10 + -3 = -13 -2 + 0.5x = -13 + 2x Solving -2 + 0.5x = -13 + 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 = -13 + 2x + -2x Combine like terms: 0.5x + -2x = -1.5x -2 + -1.5x = -13 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + -1.5x = -13 + 0 -2 + -1.5x = -13 Add '2' to each side of the equation. -2 + 2 + -1.5x = -13 + 2 Combine like terms: -2 + 2 = 0 0 + -1.5x = -13 + 2 -1.5x = -13 + 2 Combine like terms: -13 + 2 = -11 -1.5x = -11 Divide each side by '-1.5'. x = 7.333333333 Simplifying x = 7.333333333
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