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Simplifying 6(x + -3) + -2 = 2(x + 4) Reorder the terms: 6(-3 + x) + -2 = 2(x + 4) (-3 * 6 + x * 6) + -2 = 2(x + 4) (-18 + 6x) + -2 = 2(x + 4) Reorder the terms: -18 + -2 + 6x = 2(x + 4) Combine like terms: -18 + -2 = -20 -20 + 6x = 2(x + 4) Reorder the terms: -20 + 6x = 2(4 + x) -20 + 6x = (4 * 2 + x * 2) -20 + 6x = (8 + 2x) Solving -20 + 6x = 8 + 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. -20 + 6x + -2x = 8 + 2x + -2x Combine like terms: 6x + -2x = 4x -20 + 4x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -20 + 4x = 8 + 0 -20 + 4x = 8 Add '20' to each side of the equation. -20 + 20 + 4x = 8 + 20 Combine like terms: -20 + 20 = 0 0 + 4x = 8 + 20 4x = 8 + 20 Combine like terms: 8 + 20 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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