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Simplifying 7[3 + -4(x + 1)] + 6[(2x + 7) + -8] = 17x + -333 Reorder the terms: 7[3 + -4(1 + x)] + 6[(2x + 7) + -8] = 17x + -333 7[3 + (1 * -4 + x * -4)] + 6[(2x + 7) + -8] = 17x + -333 7[3 + (-4 + -4x)] + 6[(2x + 7) + -8] = 17x + -333 Combine like terms: 3 + -4 = -1 7[-1 + -4x] + 6[(2x + 7) + -8] = 17x + -333 [-1 * 7 + -4x * 7] + 6[(2x + 7) + -8] = 17x + -333 [-7 + -28x] + 6[(2x + 7) + -8] = 17x + -333 Reorder the terms: -7 + -28x + 6[(7 + 2x) + -8] = 17x + -333 Remove parenthesis around (7 + 2x) -7 + -28x + 6[7 + 2x + -8] = 17x + -333 Reorder the terms: -7 + -28x + 6[7 + -8 + 2x] = 17x + -333 Combine like terms: 7 + -8 = -1 -7 + -28x + 6[-1 + 2x] = 17x + -333 -7 + -28x + [-1 * 6 + 2x * 6] = 17x + -333 -7 + -28x + [-6 + 12x] = 17x + -333 Reorder the terms: -7 + -6 + -28x + 12x = 17x + -333 Combine like terms: -7 + -6 = -13 -13 + -28x + 12x = 17x + -333 Combine like terms: -28x + 12x = -16x -13 + -16x = 17x + -333 Reorder the terms: -13 + -16x = -333 + 17x Solving -13 + -16x = -333 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -13 + -16x + -17x = -333 + 17x + -17x Combine like terms: -16x + -17x = -33x -13 + -33x = -333 + 17x + -17x Combine like terms: 17x + -17x = 0 -13 + -33x = -333 + 0 -13 + -33x = -333 Add '13' to each side of the equation. -13 + 13 + -33x = -333 + 13 Combine like terms: -13 + 13 = 0 0 + -33x = -333 + 13 -33x = -333 + 13 Combine like terms: -333 + 13 = -320 -33x = -320 Divide each side by '-33'. x = 9.696969697 Simplifying x = 9.696969697
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