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Simplifying x + 35 = 0.5[(4x + 10) + (20)] Reorder the terms: 35 + x = 0.5[(4x + 10) + (20)] Reorder the terms: 35 + x = 0.5[(10 + 4x) + (20)] Remove parenthesis around (10 + 4x) 35 + x = 0.5[10 + 4x + (20)] 35 + x = 0.5[10 + 4x + 20] Reorder the terms: 35 + x = 0.5[10 + 20 + 4x] Combine like terms: 10 + 20 = 30 35 + x = 0.5[30 + 4x] 35 + x = [30 * 0.5 + 4x * 0.5] 35 + x = [15 + 2x] Solving 35 + x = 15 + 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. 35 + x + -2x = 15 + 2x + -2x Combine like terms: x + -2x = -1x 35 + -1x = 15 + 2x + -2x Combine like terms: 2x + -2x = 0 35 + -1x = 15 + 0 35 + -1x = 15 Add '-35' to each side of the equation. 35 + -35 + -1x = 15 + -35 Combine like terms: 35 + -35 = 0 0 + -1x = 15 + -35 -1x = 15 + -35 Combine like terms: 15 + -35 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20
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