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Simplifying 230 = 2(3x + -5) + 2(5x + 8) Reorder the terms: 230 = 2(-5 + 3x) + 2(5x + 8) 230 = (-5 * 2 + 3x * 2) + 2(5x + 8) 230 = (-10 + 6x) + 2(5x + 8) Reorder the terms: 230 = -10 + 6x + 2(8 + 5x) 230 = -10 + 6x + (8 * 2 + 5x * 2) 230 = -10 + 6x + (16 + 10x) Reorder the terms: 230 = -10 + 16 + 6x + 10x Combine like terms: -10 + 16 = 6 230 = 6 + 6x + 10x Combine like terms: 6x + 10x = 16x 230 = 6 + 16x Solving 230 = 6 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 230 + -16x = 6 + 16x + -16x Combine like terms: 16x + -16x = 0 230 + -16x = 6 + 0 230 + -16x = 6 Add '-230' to each side of the equation. 230 + -230 + -16x = 6 + -230 Combine like terms: 230 + -230 = 0 0 + -16x = 6 + -230 -16x = 6 + -230 Combine like terms: 6 + -230 = -224 -16x = -224 Divide each side by '-16'. x = 14 Simplifying x = 14
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