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Simplifying 1.5(x + 4) = 5.7 + 0.6x Reorder the terms: 1.5(4 + x) = 5.7 + 0.6x (4 * 1.5 + x * 1.5) = 5.7 + 0.6x (6 + 1.5x) = 5.7 + 0.6x Solving 6 + 1.5x = 5.7 + 0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6x' to each side of the equation. 6 + 1.5x + -0.6x = 5.7 + 0.6x + -0.6x Combine like terms: 1.5x + -0.6x = 0.9x 6 + 0.9x = 5.7 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 6 + 0.9x = 5.7 + 0.0 6 + 0.9x = 5.7 Add '-6' to each side of the equation. 6 + -6 + 0.9x = 5.7 + -6 Combine like terms: 6 + -6 = 0 0 + 0.9x = 5.7 + -6 0.9x = 5.7 + -6 Combine like terms: 5.7 + -6 = -0.3 0.9x = -0.3 Divide each side by '0.9'. x = -0.3333333333 Simplifying x = -0.3333333333
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