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Simplifying 6[3 + -4(x + 1)] + 6[(5x + 7) + -9] = 11x + -334 Reorder the terms: 6[3 + -4(1 + x)] + 6[(5x + 7) + -9] = 11x + -334 6[3 + (1 * -4 + x * -4)] + 6[(5x + 7) + -9] = 11x + -334 6[3 + (-4 + -4x)] + 6[(5x + 7) + -9] = 11x + -334 Combine like terms: 3 + -4 = -1 6[-1 + -4x] + 6[(5x + 7) + -9] = 11x + -334 [-1 * 6 + -4x * 6] + 6[(5x + 7) + -9] = 11x + -334 [-6 + -24x] + 6[(5x + 7) + -9] = 11x + -334 Reorder the terms: -6 + -24x + 6[(7 + 5x) + -9] = 11x + -334 Remove parenthesis around (7 + 5x) -6 + -24x + 6[7 + 5x + -9] = 11x + -334 Reorder the terms: -6 + -24x + 6[7 + -9 + 5x] = 11x + -334 Combine like terms: 7 + -9 = -2 -6 + -24x + 6[-2 + 5x] = 11x + -334 -6 + -24x + [-2 * 6 + 5x * 6] = 11x + -334 -6 + -24x + [-12 + 30x] = 11x + -334 Reorder the terms: -6 + -12 + -24x + 30x = 11x + -334 Combine like terms: -6 + -12 = -18 -18 + -24x + 30x = 11x + -334 Combine like terms: -24x + 30x = 6x -18 + 6x = 11x + -334 Reorder the terms: -18 + 6x = -334 + 11x Solving -18 + 6x = -334 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -18 + 6x + -11x = -334 + 11x + -11x Combine like terms: 6x + -11x = -5x -18 + -5x = -334 + 11x + -11x Combine like terms: 11x + -11x = 0 -18 + -5x = -334 + 0 -18 + -5x = -334 Add '18' to each side of the equation. -18 + 18 + -5x = -334 + 18 Combine like terms: -18 + 18 = 0 0 + -5x = -334 + 18 -5x = -334 + 18 Combine like terms: -334 + 18 = -316 -5x = -316 Divide each side by '-5'. x = 63.2 Simplifying x = 63.2
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