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Simplifying 3(6x + -7) + -14 = x + -2(5x + 4) Reorder the terms: 3(-7 + 6x) + -14 = x + -2(5x + 4) (-7 * 3 + 6x * 3) + -14 = x + -2(5x + 4) (-21 + 18x) + -14 = x + -2(5x + 4) Reorder the terms: -21 + -14 + 18x = x + -2(5x + 4) Combine like terms: -21 + -14 = -35 -35 + 18x = x + -2(5x + 4) Reorder the terms: -35 + 18x = x + -2(4 + 5x) -35 + 18x = x + (4 * -2 + 5x * -2) -35 + 18x = x + (-8 + -10x) Reorder the terms: -35 + 18x = -8 + x + -10x Combine like terms: x + -10x = -9x -35 + 18x = -8 + -9x Solving -35 + 18x = -8 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -35 + 18x + 9x = -8 + -9x + 9x Combine like terms: 18x + 9x = 27x -35 + 27x = -8 + -9x + 9x Combine like terms: -9x + 9x = 0 -35 + 27x = -8 + 0 -35 + 27x = -8 Add '35' to each side of the equation. -35 + 35 + 27x = -8 + 35 Combine like terms: -35 + 35 = 0 0 + 27x = -8 + 35 27x = -8 + 35 Combine like terms: -8 + 35 = 27 27x = 27 Divide each side by '27'. x = 1 Simplifying x = 1
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