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Simplifying 0.3(x + -3) = 5(1.5 + x) Reorder the terms: 0.3(-3 + x) = 5(1.5 + x) (-3 * 0.3 + x * 0.3) = 5(1.5 + x) (-0.9 + 0.3x) = 5(1.5 + x) -0.9 + 0.3x = (1.5 * 5 + x * 5) -0.9 + 0.3x = (7.5 + 5x) Solving -0.9 + 0.3x = 7.5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -0.9 + 0.3x + -5x = 7.5 + 5x + -5x Combine like terms: 0.3x + -5x = -4.7x -0.9 + -4.7x = 7.5 + 5x + -5x Combine like terms: 5x + -5x = 0 -0.9 + -4.7x = 7.5 + 0 -0.9 + -4.7x = 7.5 Add '0.9' to each side of the equation. -0.9 + 0.9 + -4.7x = 7.5 + 0.9 Combine like terms: -0.9 + 0.9 = 0.0 0.0 + -4.7x = 7.5 + 0.9 -4.7x = 7.5 + 0.9 Combine like terms: 7.5 + 0.9 = 8.4 -4.7x = 8.4 Divide each side by '-4.7'. x = -1.787234043 Simplifying x = -1.787234043
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