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Simplifying 0.33(2x + -4) + 5 = -0.67(x + 1) Reorder the terms: 0.33(-4 + 2x) + 5 = -0.67(x + 1) (-4 * 0.33 + 2x * 0.33) + 5 = -0.67(x + 1) (-1.32 + 0.66x) + 5 = -0.67(x + 1) Reorder the terms: -1.32 + 5 + 0.66x = -0.67(x + 1) Combine like terms: -1.32 + 5 = 3.68 3.68 + 0.66x = -0.67(x + 1) Reorder the terms: 3.68 + 0.66x = -0.67(1 + x) 3.68 + 0.66x = (1 * -0.67 + x * -0.67) 3.68 + 0.66x = (-0.67 + -0.67x) Solving 3.68 + 0.66x = -0.67 + -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. 3.68 + 0.66x + 0.67x = -0.67 + -0.67x + 0.67x Combine like terms: 0.66x + 0.67x = 1.33x 3.68 + 1.33x = -0.67 + -0.67x + 0.67x Combine like terms: -0.67x + 0.67x = 0.00 3.68 + 1.33x = -0.67 + 0.00 3.68 + 1.33x = -0.67 Add '-3.68' to each side of the equation. 3.68 + -3.68 + 1.33x = -0.67 + -3.68 Combine like terms: 3.68 + -3.68 = 0.00 0.00 + 1.33x = -0.67 + -3.68 1.33x = -0.67 + -3.68 Combine like terms: -0.67 + -3.68 = -4.35 1.33x = -4.35 Divide each side by '1.33'. x = -3.270676692 Simplifying x = -3.270676692
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