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Simplifying 10(2x + -3) = 5(2x + 26) Reorder the terms: 10(-3 + 2x) = 5(2x + 26) (-3 * 10 + 2x * 10) = 5(2x + 26) (-30 + 20x) = 5(2x + 26) Reorder the terms: -30 + 20x = 5(26 + 2x) -30 + 20x = (26 * 5 + 2x * 5) -30 + 20x = (130 + 10x) Solving -30 + 20x = 130 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -30 + 20x + -10x = 130 + 10x + -10x Combine like terms: 20x + -10x = 10x -30 + 10x = 130 + 10x + -10x Combine like terms: 10x + -10x = 0 -30 + 10x = 130 + 0 -30 + 10x = 130 Add '30' to each side of the equation. -30 + 30 + 10x = 130 + 30 Combine like terms: -30 + 30 = 0 0 + 10x = 130 + 30 10x = 130 + 30 Combine like terms: 130 + 30 = 160 10x = 160 Divide each side by '10'. x = 16 Simplifying x = 16
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