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Simplifying 2(2 + -3x) + 5x = 14 + -3(x + -4) + x (2 * 2 + -3x * 2) + 5x = 14 + -3(x + -4) + x (4 + -6x) + 5x = 14 + -3(x + -4) + x Combine like terms: -6x + 5x = -1x 4 + -1x = 14 + -3(x + -4) + x Reorder the terms: 4 + -1x = 14 + -3(-4 + x) + x 4 + -1x = 14 + (-4 * -3 + x * -3) + x 4 + -1x = 14 + (12 + -3x) + x Combine like terms: 14 + 12 = 26 4 + -1x = 26 + -3x + x Combine like terms: -3x + x = -2x 4 + -1x = 26 + -2x Solving 4 + -1x = 26 + -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. 4 + -1x + 2x = 26 + -2x + 2x Combine like terms: -1x + 2x = 1x 4 + 1x = 26 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + 1x = 26 + 0 4 + 1x = 26 Add '-4' to each side of the equation. 4 + -4 + 1x = 26 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 26 + -4 1x = 26 + -4 Combine like terms: 26 + -4 = 22 1x = 22 Divide each side by '1'. x = 22 Simplifying x = 22
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