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Simplifying 4(3x + x) + 7 + -5x = 8 + (-5)(5x + -6x) + 4x Combine like terms: 3x + x = 4x 4(4x) + 7 + -5x = 8 + (-5)(5x + -6x) + 4x Remove parenthesis around (4x) 4 * 4x + 7 + -5x = 8 + (-5)(5x + -6x) + 4x Multiply 4 * 4 16x + 7 + -5x = 8 + (-5)(5x + -6x) + 4x Reorder the terms: 7 + 16x + -5x = 8 + (-5)(5x + -6x) + 4x Combine like terms: 16x + -5x = 11x 7 + 11x = 8 + (-5)(5x + -6x) + 4x Combine like terms: 5x + -6x = -1x 7 + 11x = 8 + -5(-1x) + 4x Remove parenthesis around (-1x) 7 + 11x = 8 + -5 * -1x + 4x Multiply -5 * -1 7 + 11x = 8 + 5x + 4x Combine like terms: 5x + 4x = 9x 7 + 11x = 8 + 9x Solving 7 + 11x = 8 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 7 + 11x + -9x = 8 + 9x + -9x Combine like terms: 11x + -9x = 2x 7 + 2x = 8 + 9x + -9x Combine like terms: 9x + -9x = 0 7 + 2x = 8 + 0 7 + 2x = 8 Add '-7' to each side of the equation. 7 + -7 + 2x = 8 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 8 + -7 2x = 8 + -7 Combine like terms: 8 + -7 = 1 2x = 1 Divide each side by '2'. x = 0.5 Simplifying x = 0.5
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