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Simplifying 4(5x + -7) + 34 = -6(x + -3) + 16x + 18 Reorder the terms: 4(-7 + 5x) + 34 = -6(x + -3) + 16x + 18 (-7 * 4 + 5x * 4) + 34 = -6(x + -3) + 16x + 18 (-28 + 20x) + 34 = -6(x + -3) + 16x + 18 Reorder the terms: -28 + 34 + 20x = -6(x + -3) + 16x + 18 Combine like terms: -28 + 34 = 6 6 + 20x = -6(x + -3) + 16x + 18 Reorder the terms: 6 + 20x = -6(-3 + x) + 16x + 18 6 + 20x = (-3 * -6 + x * -6) + 16x + 18 6 + 20x = (18 + -6x) + 16x + 18 Reorder the terms: 6 + 20x = 18 + 18 + -6x + 16x Combine like terms: 18 + 18 = 36 6 + 20x = 36 + -6x + 16x Combine like terms: -6x + 16x = 10x 6 + 20x = 36 + 10x Solving 6 + 20x = 36 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 6 + 20x + -10x = 36 + 10x + -10x Combine like terms: 20x + -10x = 10x 6 + 10x = 36 + 10x + -10x Combine like terms: 10x + -10x = 0 6 + 10x = 36 + 0 6 + 10x = 36 Add '-6' to each side of the equation. 6 + -6 + 10x = 36 + -6 Combine like terms: 6 + -6 = 0 0 + 10x = 36 + -6 10x = 36 + -6 Combine like terms: 36 + -6 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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