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Simplifying 6(x + -3) + 3x = 2x + 3(4 + -1x) Reorder the terms: 6(-3 + x) + 3x = 2x + 3(4 + -1x) (-3 * 6 + x * 6) + 3x = 2x + 3(4 + -1x) (-18 + 6x) + 3x = 2x + 3(4 + -1x) Combine like terms: 6x + 3x = 9x -18 + 9x = 2x + 3(4 + -1x) -18 + 9x = 2x + (4 * 3 + -1x * 3) -18 + 9x = 2x + (12 + -3x) Reorder the terms: -18 + 9x = 12 + 2x + -3x Combine like terms: 2x + -3x = -1x -18 + 9x = 12 + -1x Solving -18 + 9x = 12 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -18 + 9x + x = 12 + -1x + x Combine like terms: 9x + x = 10x -18 + 10x = 12 + -1x + x Combine like terms: -1x + x = 0 -18 + 10x = 12 + 0 -18 + 10x = 12 Add '18' to each side of the equation. -18 + 18 + 10x = 12 + 18 Combine like terms: -18 + 18 = 0 0 + 10x = 12 + 18 10x = 12 + 18 Combine like terms: 12 + 18 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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