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Simplifying 1.67(x + 2) = 2x + -2(4 + -1x) + -7 Reorder the terms: 1.67(2 + x) = 2x + -2(4 + -1x) + -7 (2 * 1.67 + x * 1.67) = 2x + -2(4 + -1x) + -7 (3.34 + 1.67x) = 2x + -2(4 + -1x) + -7 3.34 + 1.67x = 2x + (4 * -2 + -1x * -2) + -7 3.34 + 1.67x = 2x + (-8 + 2x) + -7 Reorder the terms: 3.34 + 1.67x = -8 + -7 + 2x + 2x Combine like terms: -8 + -7 = -15 3.34 + 1.67x = -15 + 2x + 2x Combine like terms: 2x + 2x = 4x 3.34 + 1.67x = -15 + 4x Solving 3.34 + 1.67x = -15 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 3.34 + 1.67x + -4x = -15 + 4x + -4x Combine like terms: 1.67x + -4x = -2.33x 3.34 + -2.33x = -15 + 4x + -4x Combine like terms: 4x + -4x = 0 3.34 + -2.33x = -15 + 0 3.34 + -2.33x = -15 Add '-3.34' to each side of the equation. 3.34 + -3.34 + -2.33x = -15 + -3.34 Combine like terms: 3.34 + -3.34 = 0.00 0.00 + -2.33x = -15 + -3.34 -2.33x = -15 + -3.34 Combine like terms: -15 + -3.34 = -18.34 -2.33x = -18.34 Divide each side by '-2.33'. x = 7.871244635 Simplifying x = 7.871244635
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