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Simplifying 15(0.3 + -1x) + 14.5x = 2(0.5x + -10) (0.3 * 15 + -1x * 15) + 14.5x = 2(0.5x + -10) (4.5 + -15x) + 14.5x = 2(0.5x + -10) Combine like terms: -15x + 14.5x = -0.5x 4.5 + -0.5x = 2(0.5x + -10) Reorder the terms: 4.5 + -0.5x = 2(-10 + 0.5x) 4.5 + -0.5x = (-10 * 2 + 0.5x * 2) 4.5 + -0.5x = (-20 + 1x) Solving 4.5 + -0.5x = -20 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 4.5 + -0.5x + -1x = -20 + 1x + -1x Combine like terms: -0.5x + -1x = -1.5x 4.5 + -1.5x = -20 + 1x + -1x Combine like terms: 1x + -1x = 0 4.5 + -1.5x = -20 + 0 4.5 + -1.5x = -20 Add '-4.5' to each side of the equation. 4.5 + -4.5 + -1.5x = -20 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + -1.5x = -20 + -4.5 -1.5x = -20 + -4.5 Combine like terms: -20 + -4.5 = -24.5 -1.5x = -24.5 Divide each side by '-1.5'. x = 16.33333333 Simplifying x = 16.33333333
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