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Simplifying -3x + 2(3x + 1) = 2(5x + -3) + -27 Reorder the terms: -3x + 2(1 + 3x) = 2(5x + -3) + -27 -3x + (1 * 2 + 3x * 2) = 2(5x + -3) + -27 -3x + (2 + 6x) = 2(5x + -3) + -27 Reorder the terms: 2 + -3x + 6x = 2(5x + -3) + -27 Combine like terms: -3x + 6x = 3x 2 + 3x = 2(5x + -3) + -27 Reorder the terms: 2 + 3x = 2(-3 + 5x) + -27 2 + 3x = (-3 * 2 + 5x * 2) + -27 2 + 3x = (-6 + 10x) + -27 Reorder the terms: 2 + 3x = -6 + -27 + 10x Combine like terms: -6 + -27 = -33 2 + 3x = -33 + 10x Solving 2 + 3x = -33 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 2 + 3x + -10x = -33 + 10x + -10x Combine like terms: 3x + -10x = -7x 2 + -7x = -33 + 10x + -10x Combine like terms: 10x + -10x = 0 2 + -7x = -33 + 0 2 + -7x = -33 Add '-2' to each side of the equation. 2 + -2 + -7x = -33 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = -33 + -2 -7x = -33 + -2 Combine like terms: -33 + -2 = -35 -7x = -35 Divide each side by '-7'. x = 5 Simplifying x = 5
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