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Simplifying 24x + 4(6 + -1x) = 2(x + 19) + 4x 24x + (6 * 4 + -1x * 4) = 2(x + 19) + 4x 24x + (24 + -4x) = 2(x + 19) + 4x Reorder the terms: 24 + 24x + -4x = 2(x + 19) + 4x Combine like terms: 24x + -4x = 20x 24 + 20x = 2(x + 19) + 4x Reorder the terms: 24 + 20x = 2(19 + x) + 4x 24 + 20x = (19 * 2 + x * 2) + 4x 24 + 20x = (38 + 2x) + 4x Combine like terms: 2x + 4x = 6x 24 + 20x = 38 + 6x Solving 24 + 20x = 38 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 24 + 20x + -6x = 38 + 6x + -6x Combine like terms: 20x + -6x = 14x 24 + 14x = 38 + 6x + -6x Combine like terms: 6x + -6x = 0 24 + 14x = 38 + 0 24 + 14x = 38 Add '-24' to each side of the equation. 24 + -24 + 14x = 38 + -24 Combine like terms: 24 + -24 = 0 0 + 14x = 38 + -24 14x = 38 + -24 Combine like terms: 38 + -24 = 14 14x = 14 Divide each side by '14'. x = 1 Simplifying x = 1
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