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Simplifying 3(2x + -6) = 4(x + 10) Reorder the terms: 3(-6 + 2x) = 4(x + 10) (-6 * 3 + 2x * 3) = 4(x + 10) (-18 + 6x) = 4(x + 10) Reorder the terms: -18 + 6x = 4(10 + x) -18 + 6x = (10 * 4 + x * 4) -18 + 6x = (40 + 4x) Solving -18 + 6x = 40 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -18 + 6x + -4x = 40 + 4x + -4x Combine like terms: 6x + -4x = 2x -18 + 2x = 40 + 4x + -4x Combine like terms: 4x + -4x = 0 -18 + 2x = 40 + 0 -18 + 2x = 40 Add '18' to each side of the equation. -18 + 18 + 2x = 40 + 18 Combine like terms: -18 + 18 = 0 0 + 2x = 40 + 18 2x = 40 + 18 Combine like terms: 40 + 18 = 58 2x = 58 Divide each side by '2'. x = 29 Simplifying x = 29
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