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Simplifying 2(x + 3) + -4x = 6x + -3(x + 1) + -1 Reorder the terms: 2(3 + x) + -4x = 6x + -3(x + 1) + -1 (3 * 2 + x * 2) + -4x = 6x + -3(x + 1) + -1 (6 + 2x) + -4x = 6x + -3(x + 1) + -1 Combine like terms: 2x + -4x = -2x 6 + -2x = 6x + -3(x + 1) + -1 Reorder the terms: 6 + -2x = 6x + -3(1 + x) + -1 6 + -2x = 6x + (1 * -3 + x * -3) + -1 6 + -2x = 6x + (-3 + -3x) + -1 Reorder the terms: 6 + -2x = -3 + -1 + 6x + -3x Combine like terms: -3 + -1 = -4 6 + -2x = -4 + 6x + -3x Combine like terms: 6x + -3x = 3x 6 + -2x = -4 + 3x Solving 6 + -2x = -4 + 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. 6 + -2x + -3x = -4 + 3x + -3x Combine like terms: -2x + -3x = -5x 6 + -5x = -4 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + -5x = -4 + 0 6 + -5x = -4 Add '-6' to each side of the equation. 6 + -6 + -5x = -4 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = -4 + -6 -5x = -4 + -6 Combine like terms: -4 + -6 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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