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Simplifying 11 + -8(7 + -6x) = 5(7 + -1x) + -11x 11 + (7 * -8 + -6x * -8) = 5(7 + -1x) + -11x 11 + (-56 + 48x) = 5(7 + -1x) + -11x Combine like terms: 11 + -56 = -45 -45 + 48x = 5(7 + -1x) + -11x -45 + 48x = (7 * 5 + -1x * 5) + -11x -45 + 48x = (35 + -5x) + -11x Combine like terms: -5x + -11x = -16x -45 + 48x = 35 + -16x Solving -45 + 48x = 35 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. -45 + 48x + 16x = 35 + -16x + 16x Combine like terms: 48x + 16x = 64x -45 + 64x = 35 + -16x + 16x Combine like terms: -16x + 16x = 0 -45 + 64x = 35 + 0 -45 + 64x = 35 Add '45' to each side of the equation. -45 + 45 + 64x = 35 + 45 Combine like terms: -45 + 45 = 0 0 + 64x = 35 + 45 64x = 35 + 45 Combine like terms: 35 + 45 = 80 64x = 80 Divide each side by '64'. x = 1.25 Simplifying x = 1.25
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