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Simplifying 8(6x + 5) = 1 + -1(x + -3) Reorder the terms: 8(5 + 6x) = 1 + -1(x + -3) (5 * 8 + 6x * 8) = 1 + -1(x + -3) (40 + 48x) = 1 + -1(x + -3) Reorder the terms: 40 + 48x = 1 + -1(-3 + x) 40 + 48x = 1 + (-3 * -1 + x * -1) 40 + 48x = 1 + (3 + -1x) Combine like terms: 1 + 3 = 4 40 + 48x = 4 + -1x Solving 40 + 48x = 4 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 40 + 48x + x = 4 + -1x + x Combine like terms: 48x + x = 49x 40 + 49x = 4 + -1x + x Combine like terms: -1x + x = 0 40 + 49x = 4 + 0 40 + 49x = 4 Add '-40' to each side of the equation. 40 + -40 + 49x = 4 + -40 Combine like terms: 40 + -40 = 0 0 + 49x = 4 + -40 49x = 4 + -40 Combine like terms: 4 + -40 = -36 49x = -36 Divide each side by '49'. x = -0.7346938776 Simplifying x = -0.7346938776
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