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Simplifying 5(3x + -7) + 2(9 + -2x) = 8x + -1(2x + 1) + -16 Reorder the terms: 5(-7 + 3x) + 2(9 + -2x) = 8x + -1(2x + 1) + -16 (-7 * 5 + 3x * 5) + 2(9 + -2x) = 8x + -1(2x + 1) + -16 (-35 + 15x) + 2(9 + -2x) = 8x + -1(2x + 1) + -16 -35 + 15x + (9 * 2 + -2x * 2) = 8x + -1(2x + 1) + -16 -35 + 15x + (18 + -4x) = 8x + -1(2x + 1) + -16 Reorder the terms: -35 + 18 + 15x + -4x = 8x + -1(2x + 1) + -16 Combine like terms: -35 + 18 = -17 -17 + 15x + -4x = 8x + -1(2x + 1) + -16 Combine like terms: 15x + -4x = 11x -17 + 11x = 8x + -1(2x + 1) + -16 Reorder the terms: -17 + 11x = 8x + -1(1 + 2x) + -16 -17 + 11x = 8x + (1 * -1 + 2x * -1) + -16 -17 + 11x = 8x + (-1 + -2x) + -16 Reorder the terms: -17 + 11x = -1 + -16 + 8x + -2x Combine like terms: -1 + -16 = -17 -17 + 11x = -17 + 8x + -2x Combine like terms: 8x + -2x = 6x -17 + 11x = -17 + 6x Add '17' to each side of the equation. -17 + 17 + 11x = -17 + 17 + 6x Combine like terms: -17 + 17 = 0 0 + 11x = -17 + 17 + 6x 11x = -17 + 17 + 6x Combine like terms: -17 + 17 = 0 11x = 0 + 6x 11x = 6x Solving 11x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 11x + -6x = 6x + -6x Combine like terms: 11x + -6x = 5x 5x = 6x + -6x Combine like terms: 6x + -6x = 0 5x = 0 Divide each side by '5'. x = 0 Simplifying x = 0
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