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Simplifying 16.67(x + 4) = 4x + -10(2 + -1x) + -7 Reorder the terms: 16.67(4 + x) = 4x + -10(2 + -1x) + -7 (4 * 16.67 + x * 16.67) = 4x + -10(2 + -1x) + -7 (66.68 + 16.67x) = 4x + -10(2 + -1x) + -7 66.68 + 16.67x = 4x + (2 * -10 + -1x * -10) + -7 66.68 + 16.67x = 4x + (-20 + 10x) + -7 Reorder the terms: 66.68 + 16.67x = -20 + -7 + 4x + 10x Combine like terms: -20 + -7 = -27 66.68 + 16.67x = -27 + 4x + 10x Combine like terms: 4x + 10x = 14x 66.68 + 16.67x = -27 + 14x Solving 66.68 + 16.67x = -27 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 66.68 + 16.67x + -14x = -27 + 14x + -14x Combine like terms: 16.67x + -14x = 2.67x 66.68 + 2.67x = -27 + 14x + -14x Combine like terms: 14x + -14x = 0 66.68 + 2.67x = -27 + 0 66.68 + 2.67x = -27 Add '-66.68' to each side of the equation. 66.68 + -66.68 + 2.67x = -27 + -66.68 Combine like terms: 66.68 + -66.68 = 0.00 0.00 + 2.67x = -27 + -66.68 2.67x = -27 + -66.68 Combine like terms: -27 + -66.68 = -93.68 2.67x = -93.68 Divide each side by '2.67'. x = -35.08614232 Simplifying x = -35.08614232
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