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Simplifying 6(x + 3) + -8(x + -3) = x + 3 Reorder the terms: 6(3 + x) + -8(x + -3) = x + 3 (3 * 6 + x * 6) + -8(x + -3) = x + 3 (18 + 6x) + -8(x + -3) = x + 3 Reorder the terms: 18 + 6x + -8(-3 + x) = x + 3 18 + 6x + (-3 * -8 + x * -8) = x + 3 18 + 6x + (24 + -8x) = x + 3 Reorder the terms: 18 + 24 + 6x + -8x = x + 3 Combine like terms: 18 + 24 = 42 42 + 6x + -8x = x + 3 Combine like terms: 6x + -8x = -2x 42 + -2x = x + 3 Reorder the terms: 42 + -2x = 3 + x Solving 42 + -2x = 3 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 42 + -2x + -1x = 3 + x + -1x Combine like terms: -2x + -1x = -3x 42 + -3x = 3 + x + -1x Combine like terms: x + -1x = 0 42 + -3x = 3 + 0 42 + -3x = 3 Add '-42' to each side of the equation. 42 + -42 + -3x = 3 + -42 Combine like terms: 42 + -42 = 0 0 + -3x = 3 + -42 -3x = 3 + -42 Combine like terms: 3 + -42 = -39 -3x = -39 Divide each side by '-3'. x = 13 Simplifying x = 13
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