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Simplifying 5.0(x + 0.3) = 15.0x + -0.6 Reorder the terms: 5.0(0.3 + x) = 15.0x + -0.6 (0.3 * 5.0 + x * 5.0) = 15.0x + -0.6 (1.5 + 5.0x) = 15.0x + -0.6 Reorder the terms: 1.5 + 5.0x = -0.6 + 15.0x Solving 1.5 + 5.0x = -0.6 + 15.0x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15.0x' to each side of the equation. 1.5 + 5.0x + -15.0x = -0.6 + 15.0x + -15.0x Combine like terms: 5.0x + -15.0x = -10x 1.5 + -10x = -0.6 + 15.0x + -15.0x Combine like terms: 15.0x + -15.0x = 0.0 1.5 + -10x = -0.6 + 0.0 1.5 + -10x = -0.6 Add '-1.5' to each side of the equation. 1.5 + -1.5 + -10x = -0.6 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -10x = -0.6 + -1.5 -10x = -0.6 + -1.5 Combine like terms: -0.6 + -1.5 = -2.1 -10x = -2.1 Divide each side by '-10'. x = 0.21 Simplifying x = 0.21
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