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Simplifying 4(2x + 18) + -44 = 112 + -2(5x + -3) Reorder the terms: 4(18 + 2x) + -44 = 112 + -2(5x + -3) (18 * 4 + 2x * 4) + -44 = 112 + -2(5x + -3) (72 + 8x) + -44 = 112 + -2(5x + -3) Reorder the terms: 72 + -44 + 8x = 112 + -2(5x + -3) Combine like terms: 72 + -44 = 28 28 + 8x = 112 + -2(5x + -3) Reorder the terms: 28 + 8x = 112 + -2(-3 + 5x) 28 + 8x = 112 + (-3 * -2 + 5x * -2) 28 + 8x = 112 + (6 + -10x) Combine like terms: 112 + 6 = 118 28 + 8x = 118 + -10x Solving 28 + 8x = 118 + -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. 28 + 8x + 10x = 118 + -10x + 10x Combine like terms: 8x + 10x = 18x 28 + 18x = 118 + -10x + 10x Combine like terms: -10x + 10x = 0 28 + 18x = 118 + 0 28 + 18x = 118 Add '-28' to each side of the equation. 28 + -28 + 18x = 118 + -28 Combine like terms: 28 + -28 = 0 0 + 18x = 118 + -28 18x = 118 + -28 Combine like terms: 118 + -28 = 90 18x = 90 Divide each side by '18'. x = 5 Simplifying x = 5
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