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Simplifying 0.66x + -3(x + -1) = -2x + -0.33(6 + -1x) Reorder the terms: 0.66x + -3(-1 + x) = -2x + -0.33(6 + -1x) 0.66x + (-1 * -3 + x * -3) = -2x + -0.33(6 + -1x) 0.66x + (3 + -3x) = -2x + -0.33(6 + -1x) Reorder the terms: 3 + 0.66x + -3x = -2x + -0.33(6 + -1x) Combine like terms: 0.66x + -3x = -2.34x 3 + -2.34x = -2x + -0.33(6 + -1x) 3 + -2.34x = -2x + (6 * -0.33 + -1x * -0.33) 3 + -2.34x = -2x + (-1.98 + 0.33x) Reorder the terms: 3 + -2.34x = -1.98 + -2x + 0.33x Combine like terms: -2x + 0.33x = -1.67x 3 + -2.34x = -1.98 + -1.67x Solving 3 + -2.34x = -1.98 + -1.67x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.67x' to each side of the equation. 3 + -2.34x + 1.67x = -1.98 + -1.67x + 1.67x Combine like terms: -2.34x + 1.67x = -0.67x 3 + -0.67x = -1.98 + -1.67x + 1.67x Combine like terms: -1.67x + 1.67x = 0.00 3 + -0.67x = -1.98 + 0.00 3 + -0.67x = -1.98 Add '-3' to each side of the equation. 3 + -3 + -0.67x = -1.98 + -3 Combine like terms: 3 + -3 = 0 0 + -0.67x = -1.98 + -3 -0.67x = -1.98 + -3 Combine like terms: -1.98 + -3 = -4.98 -0.67x = -4.98 Divide each side by '-0.67'. x = 7.432835821 Simplifying x = 7.432835821
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