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Simplifying 2(4x + -1x) + 6 = 2(2x + x) * 8 + -1x Combine like terms: 4x + -1x = 3x 2(3x) + 6 = 2(2x + x) * 8 + -1x Remove parenthesis around (3x) 2 * 3x + 6 = 2(2x + x) * 8 + -1x Multiply 2 * 3 6x + 6 = 2(2x + x) * 8 + -1x Reorder the terms: 6 + 6x = 2(2x + x) * 8 + -1x Combine like terms: 2x + x = 3x 6 + 6x = 2(3x) * 8 + -1x Remove parenthesis around (3x) 6 + 6x = 2 * 3x * 8 + -1x Reorder the terms for easier multiplication: 6 + 6x = 2 * 3 * 8x + -1x Multiply 2 * 3 6 + 6x = 6 * 8x + -1x Multiply 6 * 8 6 + 6x = 48x + -1x Combine like terms: 48x + -1x = 47x 6 + 6x = 47x Solving 6 + 6x = 47x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-47x' to each side of the equation. 6 + 6x + -47x = 47x + -47x Combine like terms: 6x + -47x = -41x 6 + -41x = 47x + -47x Combine like terms: 47x + -47x = 0 6 + -41x = 0 Add '-6' to each side of the equation. 6 + -6 + -41x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -41x = 0 + -6 -41x = 0 + -6 Combine like terms: 0 + -6 = -6 -41x = -6 Divide each side by '-41'. x = 0.1463414634 Simplifying x = 0.1463414634
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