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Simplifying 0.5(x + 20) = 2.4(x + 1) Reorder the terms: 0.5(20 + x) = 2.4(x + 1) (20 * 0.5 + x * 0.5) = 2.4(x + 1) (10 + 0.5x) = 2.4(x + 1) Reorder the terms: 10 + 0.5x = 2.4(1 + x) 10 + 0.5x = (1 * 2.4 + x * 2.4) 10 + 0.5x = (2.4 + 2.4x) Solving 10 + 0.5x = 2.4 + 2.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.4x' to each side of the equation. 10 + 0.5x + -2.4x = 2.4 + 2.4x + -2.4x Combine like terms: 0.5x + -2.4x = -1.9x 10 + -1.9x = 2.4 + 2.4x + -2.4x Combine like terms: 2.4x + -2.4x = 0.0 10 + -1.9x = 2.4 + 0.0 10 + -1.9x = 2.4 Add '-10' to each side of the equation. 10 + -10 + -1.9x = 2.4 + -10 Combine like terms: 10 + -10 = 0 0 + -1.9x = 2.4 + -10 -1.9x = 2.4 + -10 Combine like terms: 2.4 + -10 = -7.6 -1.9x = -7.6 Divide each side by '-1.9'. x = 4 Simplifying x = 4
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