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Simplifying x + -1.5x + -0.6 = 1.5(x + 0.33) Reorder the terms: -0.6 + x + -1.5x = 1.5(x + 0.33) Combine like terms: x + -1.5x = -0.5x -0.6 + -0.5x = 1.5(x + 0.33) Reorder the terms: -0.6 + -0.5x = 1.5(0.33 + x) -0.6 + -0.5x = (0.33 * 1.5 + x * 1.5) -0.6 + -0.5x = (0.495 + 1.5x) Solving -0.6 + -0.5x = 0.495 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. -0.6 + -0.5x + -1.5x = 0.495 + 1.5x + -1.5x Combine like terms: -0.5x + -1.5x = -2x -0.6 + -2x = 0.495 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 -0.6 + -2x = 0.495 + 0.0 -0.6 + -2x = 0.495 Add '0.6' to each side of the equation. -0.6 + 0.6 + -2x = 0.495 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + -2x = 0.495 + 0.6 -2x = 0.495 + 0.6 Combine like terms: 0.495 + 0.6 = 1.095 -2x = 1.095 Divide each side by '-2'. x = -0.5475 Simplifying x = -0.5475
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