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Simplifying 3(9x + -5) + -2(8x + -7) = 14x + -10 Reorder the terms: 3(-5 + 9x) + -2(8x + -7) = 14x + -10 (-5 * 3 + 9x * 3) + -2(8x + -7) = 14x + -10 (-15 + 27x) + -2(8x + -7) = 14x + -10 Reorder the terms: -15 + 27x + -2(-7 + 8x) = 14x + -10 -15 + 27x + (-7 * -2 + 8x * -2) = 14x + -10 -15 + 27x + (14 + -16x) = 14x + -10 Reorder the terms: -15 + 14 + 27x + -16x = 14x + -10 Combine like terms: -15 + 14 = -1 -1 + 27x + -16x = 14x + -10 Combine like terms: 27x + -16x = 11x -1 + 11x = 14x + -10 Reorder the terms: -1 + 11x = -10 + 14x Solving -1 + 11x = -10 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -1 + 11x + -14x = -10 + 14x + -14x Combine like terms: 11x + -14x = -3x -1 + -3x = -10 + 14x + -14x Combine like terms: 14x + -14x = 0 -1 + -3x = -10 + 0 -1 + -3x = -10 Add '1' to each side of the equation. -1 + 1 + -3x = -10 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = -10 + 1 -3x = -10 + 1 Combine like terms: -10 + 1 = -9 -3x = -9 Divide each side by '-3'. x = 3 Simplifying x = 3
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