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Simplifying 5(6x + -3) + -1(1 + x) = 71 Reorder the terms: 5(-3 + 6x) + -1(1 + x) = 71 (-3 * 5 + 6x * 5) + -1(1 + x) = 71 (-15 + 30x) + -1(1 + x) = 71 -15 + 30x + (1 * -1 + x * -1) = 71 -15 + 30x + (-1 + -1x) = 71 Reorder the terms: -15 + -1 + 30x + -1x = 71 Combine like terms: -15 + -1 = -16 -16 + 30x + -1x = 71 Combine like terms: 30x + -1x = 29x -16 + 29x = 71 Solving -16 + 29x = 71 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 29x = 71 + 16 Combine like terms: -16 + 16 = 0 0 + 29x = 71 + 16 29x = 71 + 16 Combine like terms: 71 + 16 = 87 29x = 87 Divide each side by '29'. x = 3 Simplifying x = 3
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