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Simplifying 5(2x + -7) + 4(2x + 1) = 14 + -3(2x + -1) Reorder the terms: 5(-7 + 2x) + 4(2x + 1) = 14 + -3(2x + -1) (-7 * 5 + 2x * 5) + 4(2x + 1) = 14 + -3(2x + -1) (-35 + 10x) + 4(2x + 1) = 14 + -3(2x + -1) Reorder the terms: -35 + 10x + 4(1 + 2x) = 14 + -3(2x + -1) -35 + 10x + (1 * 4 + 2x * 4) = 14 + -3(2x + -1) -35 + 10x + (4 + 8x) = 14 + -3(2x + -1) Reorder the terms: -35 + 4 + 10x + 8x = 14 + -3(2x + -1) Combine like terms: -35 + 4 = -31 -31 + 10x + 8x = 14 + -3(2x + -1) Combine like terms: 10x + 8x = 18x -31 + 18x = 14 + -3(2x + -1) Reorder the terms: -31 + 18x = 14 + -3(-1 + 2x) -31 + 18x = 14 + (-1 * -3 + 2x * -3) -31 + 18x = 14 + (3 + -6x) Combine like terms: 14 + 3 = 17 -31 + 18x = 17 + -6x Solving -31 + 18x = 17 + -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. -31 + 18x + 6x = 17 + -6x + 6x Combine like terms: 18x + 6x = 24x -31 + 24x = 17 + -6x + 6x Combine like terms: -6x + 6x = 0 -31 + 24x = 17 + 0 -31 + 24x = 17 Add '31' to each side of the equation. -31 + 31 + 24x = 17 + 31 Combine like terms: -31 + 31 = 0 0 + 24x = 17 + 31 24x = 17 + 31 Combine like terms: 17 + 31 = 48 24x = 48 Divide each side by '24'. x = 2 Simplifying x = 2
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