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Simplifying 6(x + -30) = 4(x + 10) Reorder the terms: 6(-30 + x) = 4(x + 10) (-30 * 6 + x * 6) = 4(x + 10) (-180 + 6x) = 4(x + 10) Reorder the terms: -180 + 6x = 4(10 + x) -180 + 6x = (10 * 4 + x * 4) -180 + 6x = (40 + 4x) Solving -180 + 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. -180 + 6x + -4x = 40 + 4x + -4x Combine like terms: 6x + -4x = 2x -180 + 2x = 40 + 4x + -4x Combine like terms: 4x + -4x = 0 -180 + 2x = 40 + 0 -180 + 2x = 40 Add '180' to each side of the equation. -180 + 180 + 2x = 40 + 180 Combine like terms: -180 + 180 = 0 0 + 2x = 40 + 180 2x = 40 + 180 Combine like terms: 40 + 180 = 220 2x = 220 Divide each side by '2'. x = 110 Simplifying x = 110
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