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Simplifying 6(x + -5) = 13 + -1(2x + 3) Reorder the terms: 6(-5 + x) = 13 + -1(2x + 3) (-5 * 6 + x * 6) = 13 + -1(2x + 3) (-30 + 6x) = 13 + -1(2x + 3) Reorder the terms: -30 + 6x = 13 + -1(3 + 2x) -30 + 6x = 13 + (3 * -1 + 2x * -1) -30 + 6x = 13 + (-3 + -2x) Combine like terms: 13 + -3 = 10 -30 + 6x = 10 + -2x Solving -30 + 6x = 10 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -30 + 6x + 2x = 10 + -2x + 2x Combine like terms: 6x + 2x = 8x -30 + 8x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 -30 + 8x = 10 + 0 -30 + 8x = 10 Add '30' to each side of the equation. -30 + 30 + 8x = 10 + 30 Combine like terms: -30 + 30 = 0 0 + 8x = 10 + 30 8x = 10 + 30 Combine like terms: 10 + 30 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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