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Simplifying 0.75(x + 4) = 0.67(x + -4) Reorder the terms: 0.75(4 + x) = 0.67(x + -4) (4 * 0.75 + x * 0.75) = 0.67(x + -4) (3 + 0.75x) = 0.67(x + -4) Reorder the terms: 3 + 0.75x = 0.67(-4 + x) 3 + 0.75x = (-4 * 0.67 + x * 0.67) 3 + 0.75x = (-2.68 + 0.67x) Solving 3 + 0.75x = -2.68 + 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 + 0.75x + -0.67x = -2.68 + 0.67x + -0.67x Combine like terms: 0.75x + -0.67x = 0.08x 3 + 0.08x = -2.68 + 0.67x + -0.67x Combine like terms: 0.67x + -0.67x = 0.00 3 + 0.08x = -2.68 + 0.00 3 + 0.08x = -2.68 Add '-3' to each side of the equation. 3 + -3 + 0.08x = -2.68 + -3 Combine like terms: 3 + -3 = 0 0 + 0.08x = -2.68 + -3 0.08x = -2.68 + -3 Combine like terms: -2.68 + -3 = -5.68 0.08x = -5.68 Divide each side by '0.08'. x = -71 Simplifying x = -71
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