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Simplifying 5(3x + -1) + 2x + 9(2x + -3) = 5(6x + -7) + 11x + -21 Reorder the terms: 5(-1 + 3x) + 2x + 9(2x + -3) = 5(6x + -7) + 11x + -21 (-1 * 5 + 3x * 5) + 2x + 9(2x + -3) = 5(6x + -7) + 11x + -21 (-5 + 15x) + 2x + 9(2x + -3) = 5(6x + -7) + 11x + -21 Reorder the terms: -5 + 15x + 2x + 9(-3 + 2x) = 5(6x + -7) + 11x + -21 -5 + 15x + 2x + (-3 * 9 + 2x * 9) = 5(6x + -7) + 11x + -21 -5 + 15x + 2x + (-27 + 18x) = 5(6x + -7) + 11x + -21 Reorder the terms: -5 + -27 + 15x + 2x + 18x = 5(6x + -7) + 11x + -21 Combine like terms: -5 + -27 = -32 -32 + 15x + 2x + 18x = 5(6x + -7) + 11x + -21 Combine like terms: 15x + 2x = 17x -32 + 17x + 18x = 5(6x + -7) + 11x + -21 Combine like terms: 17x + 18x = 35x -32 + 35x = 5(6x + -7) + 11x + -21 Reorder the terms: -32 + 35x = 5(-7 + 6x) + 11x + -21 -32 + 35x = (-7 * 5 + 6x * 5) + 11x + -21 -32 + 35x = (-35 + 30x) + 11x + -21 Reorder the terms: -32 + 35x = -35 + -21 + 30x + 11x Combine like terms: -35 + -21 = -56 -32 + 35x = -56 + 30x + 11x Combine like terms: 30x + 11x = 41x -32 + 35x = -56 + 41x Solving -32 + 35x = -56 + 41x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-41x' to each side of the equation. -32 + 35x + -41x = -56 + 41x + -41x Combine like terms: 35x + -41x = -6x -32 + -6x = -56 + 41x + -41x Combine like terms: 41x + -41x = 0 -32 + -6x = -56 + 0 -32 + -6x = -56 Add '32' to each side of the equation. -32 + 32 + -6x = -56 + 32 Combine like terms: -32 + 32 = 0 0 + -6x = -56 + 32 -6x = -56 + 32 Combine like terms: -56 + 32 = -24 -6x = -24 Divide each side by '-6'. x = 4 Simplifying x = 4
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