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Simplifying 7(x + 8) + -1(9 + -4x) = 10x Reorder the terms: 7(8 + x) + -1(9 + -4x) = 10x (8 * 7 + x * 7) + -1(9 + -4x) = 10x (56 + 7x) + -1(9 + -4x) = 10x 56 + 7x + (9 * -1 + -4x * -1) = 10x 56 + 7x + (-9 + 4x) = 10x Reorder the terms: 56 + -9 + 7x + 4x = 10x Combine like terms: 56 + -9 = 47 47 + 7x + 4x = 10x Combine like terms: 7x + 4x = 11x 47 + 11x = 10x Solving 47 + 11x = 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 47 + 11x + -10x = 10x + -10x Combine like terms: 11x + -10x = 1x 47 + 1x = 10x + -10x Combine like terms: 10x + -10x = 0 47 + 1x = 0 Add '-47' to each side of the equation. 47 + -47 + 1x = 0 + -47 Combine like terms: 47 + -47 = 0 0 + 1x = 0 + -47 1x = 0 + -47 Combine like terms: 0 + -47 = -47 1x = -47 Divide each side by '1'. x = -47 Simplifying x = -47
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