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Simplifying 10 + 3(x + -13) = 5(1 + -1x) + 14 Reorder the terms: 10 + 3(-13 + x) = 5(1 + -1x) + 14 10 + (-13 * 3 + x * 3) = 5(1 + -1x) + 14 10 + (-39 + 3x) = 5(1 + -1x) + 14 Combine like terms: 10 + -39 = -29 -29 + 3x = 5(1 + -1x) + 14 -29 + 3x = (1 * 5 + -1x * 5) + 14 -29 + 3x = (5 + -5x) + 14 Reorder the terms: -29 + 3x = 5 + 14 + -5x Combine like terms: 5 + 14 = 19 -29 + 3x = 19 + -5x Solving -29 + 3x = 19 + -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. -29 + 3x + 5x = 19 + -5x + 5x Combine like terms: 3x + 5x = 8x -29 + 8x = 19 + -5x + 5x Combine like terms: -5x + 5x = 0 -29 + 8x = 19 + 0 -29 + 8x = 19 Add '29' to each side of the equation. -29 + 29 + 8x = 19 + 29 Combine like terms: -29 + 29 = 0 0 + 8x = 19 + 29 8x = 19 + 29 Combine like terms: 19 + 29 = 48 8x = 48 Divide each side by '8'. x = 6 Simplifying x = 6
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