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Simplifying 6x + -3(x + 1) = 18x + 2(x + 2) Reorder the terms: 6x + -3(1 + x) = 18x + 2(x + 2) 6x + (1 * -3 + x * -3) = 18x + 2(x + 2) 6x + (-3 + -3x) = 18x + 2(x + 2) Reorder the terms: -3 + 6x + -3x = 18x + 2(x + 2) Combine like terms: 6x + -3x = 3x -3 + 3x = 18x + 2(x + 2) Reorder the terms: -3 + 3x = 18x + 2(2 + x) -3 + 3x = 18x + (2 * 2 + x * 2) -3 + 3x = 18x + (4 + 2x) Reorder the terms: -3 + 3x = 4 + 18x + 2x Combine like terms: 18x + 2x = 20x -3 + 3x = 4 + 20x Solving -3 + 3x = 4 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -3 + 3x + -20x = 4 + 20x + -20x Combine like terms: 3x + -20x = -17x -3 + -17x = 4 + 20x + -20x Combine like terms: 20x + -20x = 0 -3 + -17x = 4 + 0 -3 + -17x = 4 Add '3' to each side of the equation. -3 + 3 + -17x = 4 + 3 Combine like terms: -3 + 3 = 0 0 + -17x = 4 + 3 -17x = 4 + 3 Combine like terms: 4 + 3 = 7 -17x = 7 Divide each side by '-17'. x = -0.4117647059 Simplifying x = -0.4117647059
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