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Simplifying 5(2x + 6) = 4(2x + -10) Reorder the terms: 5(6 + 2x) = 4(2x + -10) (6 * 5 + 2x * 5) = 4(2x + -10) (30 + 10x) = 4(2x + -10) Reorder the terms: 30 + 10x = 4(-10 + 2x) 30 + 10x = (-10 * 4 + 2x * 4) 30 + 10x = (-40 + 8x) Solving 30 + 10x = -40 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 30 + 10x + -8x = -40 + 8x + -8x Combine like terms: 10x + -8x = 2x 30 + 2x = -40 + 8x + -8x Combine like terms: 8x + -8x = 0 30 + 2x = -40 + 0 30 + 2x = -40 Add '-30' to each side of the equation. 30 + -30 + 2x = -40 + -30 Combine like terms: 30 + -30 = 0 0 + 2x = -40 + -30 2x = -40 + -30 Combine like terms: -40 + -30 = -70 2x = -70 Divide each side by '2'. x = -35 Simplifying x = -35
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