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Simplifying 2(4x + -1x) + 6 = 2(3x + 2x) + 8 Combine like terms: 4x + -1x = 3x 2(3x) + 6 = 2(3x + 2x) + 8 Remove parenthesis around (3x) 2 * 3x + 6 = 2(3x + 2x) + 8 Multiply 2 * 3 6x + 6 = 2(3x + 2x) + 8 Reorder the terms: 6 + 6x = 2(3x + 2x) + 8 Combine like terms: 3x + 2x = 5x 6 + 6x = 2(5x) + 8 Remove parenthesis around (5x) 6 + 6x = 2 * 5x + 8 Multiply 2 * 5 6 + 6x = 10x + 8 Reorder the terms: 6 + 6x = 8 + 10x Solving 6 + 6x = 8 + 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. 6 + 6x + -10x = 8 + 10x + -10x Combine like terms: 6x + -10x = -4x 6 + -4x = 8 + 10x + -10x Combine like terms: 10x + -10x = 0 6 + -4x = 8 + 0 6 + -4x = 8 Add '-6' to each side of the equation. 6 + -6 + -4x = 8 + -6 Combine like terms: 6 + -6 = 0 0 + -4x = 8 + -6 -4x = 8 + -6 Combine like terms: 8 + -6 = 2 -4x = 2 Divide each side by '-4'. x = -0.5 Simplifying x = -0.5
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