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Simplifying 3(6x + -5) + 57 = -6(x + -9) + 14x + 18 Reorder the terms: 3(-5 + 6x) + 57 = -6(x + -9) + 14x + 18 (-5 * 3 + 6x * 3) + 57 = -6(x + -9) + 14x + 18 (-15 + 18x) + 57 = -6(x + -9) + 14x + 18 Reorder the terms: -15 + 57 + 18x = -6(x + -9) + 14x + 18 Combine like terms: -15 + 57 = 42 42 + 18x = -6(x + -9) + 14x + 18 Reorder the terms: 42 + 18x = -6(-9 + x) + 14x + 18 42 + 18x = (-9 * -6 + x * -6) + 14x + 18 42 + 18x = (54 + -6x) + 14x + 18 Reorder the terms: 42 + 18x = 54 + 18 + -6x + 14x Combine like terms: 54 + 18 = 72 42 + 18x = 72 + -6x + 14x Combine like terms: -6x + 14x = 8x 42 + 18x = 72 + 8x Solving 42 + 18x = 72 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 42 + 18x + -8x = 72 + 8x + -8x Combine like terms: 18x + -8x = 10x 42 + 10x = 72 + 8x + -8x Combine like terms: 8x + -8x = 0 42 + 10x = 72 + 0 42 + 10x = 72 Add '-42' to each side of the equation. 42 + -42 + 10x = 72 + -42 Combine like terms: 42 + -42 = 0 0 + 10x = 72 + -42 10x = 72 + -42 Combine like terms: 72 + -42 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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