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Simplifying 2(4x + -1x) + 6 = 2(2x + -1x) + 8 Combine like terms: 4x + -1x = 3x 2(3x) + 6 = 2(2x + -1x) + 8 Remove parenthesis around (3x) 2 * 3x + 6 = 2(2x + -1x) + 8 Multiply 2 * 3 6x + 6 = 2(2x + -1x) + 8 Reorder the terms: 6 + 6x = 2(2x + -1x) + 8 Combine like terms: 2x + -1x = 1x 6 + 6x = 2(1x) + 8 Remove parenthesis around (1x) 6 + 6x = 2 * 1x + 8 Multiply 2 * 1 6 + 6x = 2x + 8 Reorder the terms: 6 + 6x = 8 + 2x Solving 6 + 6x = 8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 6 + 6x + -2x = 8 + 2x + -2x Combine like terms: 6x + -2x = 4x 6 + 4x = 8 + 2x + -2x Combine like terms: 2x + -2x = 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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