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Simplifying 0.6x + 1.5 = -0.6(2x + 5) Reorder the terms: 1.5 + 0.6x = -0.6(2x + 5) Reorder the terms: 1.5 + 0.6x = -0.6(5 + 2x) 1.5 + 0.6x = (5 * -0.6 + 2x * -0.6) 1.5 + 0.6x = (-3 + -1.2x) Solving 1.5 + 0.6x = -3 + -1.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.2x' to each side of the equation. 1.5 + 0.6x + 1.2x = -3 + -1.2x + 1.2x Combine like terms: 0.6x + 1.2x = 1.8x 1.5 + 1.8x = -3 + -1.2x + 1.2x Combine like terms: -1.2x + 1.2x = 0.0 1.5 + 1.8x = -3 + 0.0 1.5 + 1.8x = -3 Add '-1.5' to each side of the equation. 1.5 + -1.5 + 1.8x = -3 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 1.8x = -3 + -1.5 1.8x = -3 + -1.5 Combine like terms: -3 + -1.5 = -4.5 1.8x = -4.5 Divide each side by '1.8'. x = -2.5 Simplifying x = -2.5
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