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Simplifying 0.33x + -4 = 0.67(3x + -2) Reorder the terms: -4 + 0.33x = 0.67(3x + -2) Reorder the terms: -4 + 0.33x = 0.67(-2 + 3x) -4 + 0.33x = (-2 * 0.67 + 3x * 0.67) -4 + 0.33x = (-1.34 + 2.01x) Solving -4 + 0.33x = -1.34 + 2.01x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.01x' to each side of the equation. -4 + 0.33x + -2.01x = -1.34 + 2.01x + -2.01x Combine like terms: 0.33x + -2.01x = -1.68x -4 + -1.68x = -1.34 + 2.01x + -2.01x Combine like terms: 2.01x + -2.01x = 0.00 -4 + -1.68x = -1.34 + 0.00 -4 + -1.68x = -1.34 Add '4' to each side of the equation. -4 + 4 + -1.68x = -1.34 + 4 Combine like terms: -4 + 4 = 0 0 + -1.68x = -1.34 + 4 -1.68x = -1.34 + 4 Combine like terms: -1.34 + 4 = 2.66 -1.68x = 2.66 Divide each side by '-1.68'. x = -1.583333333 Simplifying x = -1.583333333
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