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Simplifying 5(2x + -6) + -3(2x + 8) = 2(x + -3) + 2 Reorder the terms: 5(-6 + 2x) + -3(2x + 8) = 2(x + -3) + 2 (-6 * 5 + 2x * 5) + -3(2x + 8) = 2(x + -3) + 2 (-30 + 10x) + -3(2x + 8) = 2(x + -3) + 2 Reorder the terms: -30 + 10x + -3(8 + 2x) = 2(x + -3) + 2 -30 + 10x + (8 * -3 + 2x * -3) = 2(x + -3) + 2 -30 + 10x + (-24 + -6x) = 2(x + -3) + 2 Reorder the terms: -30 + -24 + 10x + -6x = 2(x + -3) + 2 Combine like terms: -30 + -24 = -54 -54 + 10x + -6x = 2(x + -3) + 2 Combine like terms: 10x + -6x = 4x -54 + 4x = 2(x + -3) + 2 Reorder the terms: -54 + 4x = 2(-3 + x) + 2 -54 + 4x = (-3 * 2 + x * 2) + 2 -54 + 4x = (-6 + 2x) + 2 Reorder the terms: -54 + 4x = -6 + 2 + 2x Combine like terms: -6 + 2 = -4 -54 + 4x = -4 + 2x Solving -54 + 4x = -4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -54 + 4x + -2x = -4 + 2x + -2x Combine like terms: 4x + -2x = 2x -54 + 2x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 -54 + 2x = -4 + 0 -54 + 2x = -4 Add '54' to each side of the equation. -54 + 54 + 2x = -4 + 54 Combine like terms: -54 + 54 = 0 0 + 2x = -4 + 54 2x = -4 + 54 Combine like terms: -4 + 54 = 50 2x = 50 Divide each side by '2'. x = 25 Simplifying x = 25
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