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Simplifying 0.5(54 + 2x) + -24 = 0.5(26 + -4x) + 6 (54 * 0.5 + 2x * 0.5) + -24 = 0.5(26 + -4x) + 6 (27 + 1x) + -24 = 0.5(26 + -4x) + 6 Reorder the terms: 27 + -24 + 1x = 0.5(26 + -4x) + 6 Combine like terms: 27 + -24 = 3 3 + 1x = 0.5(26 + -4x) + 6 3 + 1x = (26 * 0.5 + -4x * 0.5) + 6 3 + 1x = (13 + -2x) + 6 Reorder the terms: 3 + 1x = 13 + 6 + -2x Combine like terms: 13 + 6 = 19 3 + 1x = 19 + -2x Solving 3 + 1x = 19 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 3 + 1x + 2x = 19 + -2x + 2x Combine like terms: 1x + 2x = 3x 3 + 3x = 19 + -2x + 2x Combine like terms: -2x + 2x = 0 3 + 3x = 19 + 0 3 + 3x = 19 Add '-3' to each side of the equation. 3 + -3 + 3x = 19 + -3 Combine like terms: 3 + -3 = 0 0 + 3x = 19 + -3 3x = 19 + -3 Combine like terms: 19 + -3 = 16 3x = 16 Divide each side by '3'. x = 5.333333333 Simplifying x = 5.333333333
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