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Simplifying 6(x + -3) + -2x = 8 + 3(x + 1) Reorder the terms: 6(-3 + x) + -2x = 8 + 3(x + 1) (-3 * 6 + x * 6) + -2x = 8 + 3(x + 1) (-18 + 6x) + -2x = 8 + 3(x + 1) Combine like terms: 6x + -2x = 4x -18 + 4x = 8 + 3(x + 1) Reorder the terms: -18 + 4x = 8 + 3(1 + x) -18 + 4x = 8 + (1 * 3 + x * 3) -18 + 4x = 8 + (3 + 3x) Combine like terms: 8 + 3 = 11 -18 + 4x = 11 + 3x Solving -18 + 4x = 11 + 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 + 4x + -3x = 11 + 3x + -3x Combine like terms: 4x + -3x = 1x -18 + 1x = 11 + 3x + -3x Combine like terms: 3x + -3x = 0 -18 + 1x = 11 + 0 -18 + 1x = 11 Add '18' to each side of the equation. -18 + 18 + 1x = 11 + 18 Combine like terms: -18 + 18 = 0 0 + 1x = 11 + 18 1x = 11 + 18 Combine like terms: 11 + 18 = 29 1x = 29 Divide each side by '1'. x = 29 Simplifying x = 29
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