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Simplifying 0.67x + -7(x + -0.50) = 28.50 + -1x Reorder the terms: 0.67x + -7(-0.50 + x) = 28.50 + -1x 0.67x + (-0.50 * -7 + x * -7) = 28.50 + -1x 0.67x + (3.5 + -7x) = 28.50 + -1x Reorder the terms: 3.5 + 0.67x + -7x = 28.50 + -1x Combine like terms: 0.67x + -7x = -6.33x 3.5 + -6.33x = 28.50 + -1x Solving 3.5 + -6.33x = 28.50 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 3.5 + -6.33x + x = 28.50 + -1x + x Combine like terms: -6.33x + x = -5.33x 3.5 + -5.33x = 28.50 + -1x + x Combine like terms: -1x + x = 0 3.5 + -5.33x = 28.50 + 0 3.5 + -5.33x = 28.50 Add '-3.5' to each side of the equation. 3.5 + -3.5 + -5.33x = 28.50 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + -5.33x = 28.50 + -3.5 -5.33x = 28.50 + -3.5 Combine like terms: 28.50 + -3.5 = 25 -5.33x = 25 Divide each side by '-5.33'. x = -4.69043152 Simplifying x = -4.69043152
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