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Simplifying 6 + -8(x + 3) + 5x = 5x + -1(2x + -5) + 13 Reorder the terms: 6 + -8(3 + x) + 5x = 5x + -1(2x + -5) + 13 6 + (3 * -8 + x * -8) + 5x = 5x + -1(2x + -5) + 13 6 + (-24 + -8x) + 5x = 5x + -1(2x + -5) + 13 Combine like terms: 6 + -24 = -18 -18 + -8x + 5x = 5x + -1(2x + -5) + 13 Combine like terms: -8x + 5x = -3x -18 + -3x = 5x + -1(2x + -5) + 13 Reorder the terms: -18 + -3x = 5x + -1(-5 + 2x) + 13 -18 + -3x = 5x + (-5 * -1 + 2x * -1) + 13 -18 + -3x = 5x + (5 + -2x) + 13 Reorder the terms: -18 + -3x = 5 + 13 + 5x + -2x Combine like terms: 5 + 13 = 18 -18 + -3x = 18 + 5x + -2x Combine like terms: 5x + -2x = 3x -18 + -3x = 18 + 3x Solving -18 + -3x = 18 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -18 + -3x + -3x = 18 + 3x + -3x Combine like terms: -3x + -3x = -6x -18 + -6x = 18 + 3x + -3x Combine like terms: 3x + -3x = 0 -18 + -6x = 18 + 0 -18 + -6x = 18 Add '18' to each side of the equation. -18 + 18 + -6x = 18 + 18 Combine like terms: -18 + 18 = 0 0 + -6x = 18 + 18 -6x = 18 + 18 Combine like terms: 18 + 18 = 36 -6x = 36 Divide each side by '-6'. x = -6 Simplifying x = -6
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