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Simplifying 2(3x + -5) = 2(8x + 15) Reorder the terms: 2(-5 + 3x) = 2(8x + 15) (-5 * 2 + 3x * 2) = 2(8x + 15) (-10 + 6x) = 2(8x + 15) Reorder the terms: -10 + 6x = 2(15 + 8x) -10 + 6x = (15 * 2 + 8x * 2) -10 + 6x = (30 + 16x) Solving -10 + 6x = 30 + 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. -10 + 6x + -16x = 30 + 16x + -16x Combine like terms: 6x + -16x = -10x -10 + -10x = 30 + 16x + -16x Combine like terms: 16x + -16x = 0 -10 + -10x = 30 + 0 -10 + -10x = 30 Add '10' to each side of the equation. -10 + 10 + -10x = 30 + 10 Combine like terms: -10 + 10 = 0 0 + -10x = 30 + 10 -10x = 30 + 10 Combine like terms: 30 + 10 = 40 -10x = 40 Divide each side by '-10'. x = -4 Simplifying x = -4
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