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Simplifying 0.5x + -3 = 0.67(x + -1) Reorder the terms: -3 + 0.5x = 0.67(x + -1) Reorder the terms: -3 + 0.5x = 0.67(-1 + x) -3 + 0.5x = (-1 * 0.67 + x * 0.67) -3 + 0.5x = (-0.67 + 0.67x) Solving -3 + 0.5x = -0.67 + 0.67x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.67x' to each side of the equation. -3 + 0.5x + -0.67x = -0.67 + 0.67x + -0.67x Combine like terms: 0.5x + -0.67x = -0.17x -3 + -0.17x = -0.67 + 0.67x + -0.67x Combine like terms: 0.67x + -0.67x = 0.00 -3 + -0.17x = -0.67 + 0.00 -3 + -0.17x = -0.67 Add '3' to each side of the equation. -3 + 3 + -0.17x = -0.67 + 3 Combine like terms: -3 + 3 = 0 0 + -0.17x = -0.67 + 3 -0.17x = -0.67 + 3 Combine like terms: -0.67 + 3 = 2.33 -0.17x = 2.33 Divide each side by '-0.17'. x = -13.70588235 Simplifying x = -13.70588235
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