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Simplifying 5x + -8 = 13 + 8(x + -3) Reorder the terms: -8 + 5x = 13 + 8(x + -3) Reorder the terms: -8 + 5x = 13 + 8(-3 + x) -8 + 5x = 13 + (-3 * 8 + x * 8) -8 + 5x = 13 + (-24 + 8x) Combine like terms: 13 + -24 = -11 -8 + 5x = -11 + 8x Solving -8 + 5x = -11 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -8 + 5x + -8x = -11 + 8x + -8x Combine like terms: 5x + -8x = -3x -8 + -3x = -11 + 8x + -8x Combine like terms: 8x + -8x = 0 -8 + -3x = -11 + 0 -8 + -3x = -11 Add '8' to each side of the equation. -8 + 8 + -3x = -11 + 8 Combine like terms: -8 + 8 = 0 0 + -3x = -11 + 8 -3x = -11 + 8 Combine like terms: -11 + 8 = -3 -3x = -3 Divide each side by '-3'. x = 1 Simplifying x = 1
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