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Simplifying 5(2x + 6) = 2(8x + -3) Reorder the terms: 5(6 + 2x) = 2(8x + -3) (6 * 5 + 2x * 5) = 2(8x + -3) (30 + 10x) = 2(8x + -3) Reorder the terms: 30 + 10x = 2(-3 + 8x) 30 + 10x = (-3 * 2 + 8x * 2) 30 + 10x = (-6 + 16x) Solving 30 + 10x = -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. 30 + 10x + -16x = -6 + 16x + -16x Combine like terms: 10x + -16x = -6x 30 + -6x = -6 + 16x + -16x Combine like terms: 16x + -16x = 0 30 + -6x = -6 + 0 30 + -6x = -6 Add '-30' to each side of the equation. 30 + -30 + -6x = -6 + -30 Combine like terms: 30 + -30 = 0 0 + -6x = -6 + -30 -6x = -6 + -30 Combine like terms: -6 + -30 = -36 -6x = -36 Divide each side by '-6'. x = 6 Simplifying x = 6
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