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Simplifying 52 + 7x + -8[8(x + -3)] + -11(5 + -3x) = 9(1 + -1x) Reorder the terms: 52 + 7x + -8[8(-3 + x)] + -11(5 + -3x) = 9(1 + -1x) 52 + 7x + -8[(-3 * 8 + x * 8)] + -11(5 + -3x) = 9(1 + -1x) 52 + 7x + -8[(-24 + 8x)] + -11(5 + -3x) = 9(1 + -1x) 52 + 7x + [-24 * -8 + 8x * -8] + -11(5 + -3x) = 9(1 + -1x) 52 + 7x + [192 + -64x] + -11(5 + -3x) = 9(1 + -1x) 52 + 7x + 192 + -64x + (5 * -11 + -3x * -11) = 9(1 + -1x) 52 + 7x + 192 + -64x + (-55 + 33x) = 9(1 + -1x) Reorder the terms: 52 + 192 + -55 + 7x + -64x + 33x = 9(1 + -1x) Combine like terms: 52 + 192 = 244 244 + -55 + 7x + -64x + 33x = 9(1 + -1x) Combine like terms: 244 + -55 = 189 189 + 7x + -64x + 33x = 9(1 + -1x) Combine like terms: 7x + -64x = -57x 189 + -57x + 33x = 9(1 + -1x) Combine like terms: -57x + 33x = -24x 189 + -24x = 9(1 + -1x) 189 + -24x = (1 * 9 + -1x * 9) 189 + -24x = (9 + -9x) Solving 189 + -24x = 9 + -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. 189 + -24x + 9x = 9 + -9x + 9x Combine like terms: -24x + 9x = -15x 189 + -15x = 9 + -9x + 9x Combine like terms: -9x + 9x = 0 189 + -15x = 9 + 0 189 + -15x = 9 Add '-189' to each side of the equation. 189 + -189 + -15x = 9 + -189 Combine like terms: 189 + -189 = 0 0 + -15x = 9 + -189 -15x = 9 + -189 Combine like terms: 9 + -189 = -180 -15x = -180 Divide each side by '-15'. x = 12 Simplifying x = 12
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