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Simplifying 6(3x + -8) + 13 = 5(2x + 1) Reorder the terms: 6(-8 + 3x) + 13 = 5(2x + 1) (-8 * 6 + 3x * 6) + 13 = 5(2x + 1) (-48 + 18x) + 13 = 5(2x + 1) Reorder the terms: -48 + 13 + 18x = 5(2x + 1) Combine like terms: -48 + 13 = -35 -35 + 18x = 5(2x + 1) Reorder the terms: -35 + 18x = 5(1 + 2x) -35 + 18x = (1 * 5 + 2x * 5) -35 + 18x = (5 + 10x) Solving -35 + 18x = 5 + 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. -35 + 18x + -10x = 5 + 10x + -10x Combine like terms: 18x + -10x = 8x -35 + 8x = 5 + 10x + -10x Combine like terms: 10x + -10x = 0 -35 + 8x = 5 + 0 -35 + 8x = 5 Add '35' to each side of the equation. -35 + 35 + 8x = 5 + 35 Combine like terms: -35 + 35 = 0 0 + 8x = 5 + 35 8x = 5 + 35 Combine like terms: 5 + 35 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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