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Simplifying 4(5x + 1) + -3(8x + 1) = 10x + 1 Reorder the terms: 4(1 + 5x) + -3(8x + 1) = 10x + 1 (1 * 4 + 5x * 4) + -3(8x + 1) = 10x + 1 (4 + 20x) + -3(8x + 1) = 10x + 1 Reorder the terms: 4 + 20x + -3(1 + 8x) = 10x + 1 4 + 20x + (1 * -3 + 8x * -3) = 10x + 1 4 + 20x + (-3 + -24x) = 10x + 1 Reorder the terms: 4 + -3 + 20x + -24x = 10x + 1 Combine like terms: 4 + -3 = 1 1 + 20x + -24x = 10x + 1 Combine like terms: 20x + -24x = -4x 1 + -4x = 10x + 1 Reorder the terms: 1 + -4x = 1 + 10x Add '-1' to each side of the equation. 1 + -1 + -4x = 1 + -1 + 10x Combine like terms: 1 + -1 = 0 0 + -4x = 1 + -1 + 10x -4x = 1 + -1 + 10x Combine like terms: 1 + -1 = 0 -4x = 0 + 10x -4x = 10x Solving -4x = 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -4x + -10x = 10x + -10x Combine like terms: -4x + -10x = -14x -14x = 10x + -10x Combine like terms: 10x + -10x = 0 -14x = 0 Divide each side by '-14'. x = 0 Simplifying x = 0
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