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Simplifying 1 + 4(6 + -2x) + -1(x + -3) = 5x 1 + (6 * 4 + -2x * 4) + -1(x + -3) = 5x 1 + (24 + -8x) + -1(x + -3) = 5x Reorder the terms: 1 + 24 + -8x + -1(-3 + x) = 5x 1 + 24 + -8x + (-3 * -1 + x * -1) = 5x 1 + 24 + -8x + (3 + -1x) = 5x Reorder the terms: 1 + 24 + 3 + -8x + -1x = 5x Combine like terms: 1 + 24 = 25 25 + 3 + -8x + -1x = 5x Combine like terms: 25 + 3 = 28 28 + -8x + -1x = 5x Combine like terms: -8x + -1x = -9x 28 + -9x = 5x Solving 28 + -9x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 28 + -9x + -5x = 5x + -5x Combine like terms: -9x + -5x = -14x 28 + -14x = 5x + -5x Combine like terms: 5x + -5x = 0 28 + -14x = 0 Add '-28' to each side of the equation. 28 + -28 + -14x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -14x = 0 + -28 -14x = 0 + -28 Combine like terms: 0 + -28 = -28 -14x = -28 Divide each side by '-14'. x = 2 Simplifying x = 2
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