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Simplifying 5(x + 10) + 4 = -5(x + -9) + -7 Reorder the terms: 5(10 + x) + 4 = -5(x + -9) + -7 (10 * 5 + x * 5) + 4 = -5(x + -9) + -7 (50 + 5x) + 4 = -5(x + -9) + -7 Reorder the terms: 50 + 4 + 5x = -5(x + -9) + -7 Combine like terms: 50 + 4 = 54 54 + 5x = -5(x + -9) + -7 Reorder the terms: 54 + 5x = -5(-9 + x) + -7 54 + 5x = (-9 * -5 + x * -5) + -7 54 + 5x = (45 + -5x) + -7 Reorder the terms: 54 + 5x = 45 + -7 + -5x Combine like terms: 45 + -7 = 38 54 + 5x = 38 + -5x Solving 54 + 5x = 38 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 54 + 5x + 5x = 38 + -5x + 5x Combine like terms: 5x + 5x = 10x 54 + 10x = 38 + -5x + 5x Combine like terms: -5x + 5x = 0 54 + 10x = 38 + 0 54 + 10x = 38 Add '-54' to each side of the equation. 54 + -54 + 10x = 38 + -54 Combine like terms: 54 + -54 = 0 0 + 10x = 38 + -54 10x = 38 + -54 Combine like terms: 38 + -54 = -16 10x = -16 Divide each side by '10'. x = -1.6 Simplifying x = -1.6
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