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Simplifying 6(x + 10) + 4 = -10(x + -10) + -9 Reorder the terms: 6(10 + x) + 4 = -10(x + -10) + -9 (10 * 6 + x * 6) + 4 = -10(x + -10) + -9 (60 + 6x) + 4 = -10(x + -10) + -9 Reorder the terms: 60 + 4 + 6x = -10(x + -10) + -9 Combine like terms: 60 + 4 = 64 64 + 6x = -10(x + -10) + -9 Reorder the terms: 64 + 6x = -10(-10 + x) + -9 64 + 6x = (-10 * -10 + x * -10) + -9 64 + 6x = (100 + -10x) + -9 Reorder the terms: 64 + 6x = 100 + -9 + -10x Combine like terms: 100 + -9 = 91 64 + 6x = 91 + -10x Solving 64 + 6x = 91 + -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. 64 + 6x + 10x = 91 + -10x + 10x Combine like terms: 6x + 10x = 16x 64 + 16x = 91 + -10x + 10x Combine like terms: -10x + 10x = 0 64 + 16x = 91 + 0 64 + 16x = 91 Add '-64' to each side of the equation. 64 + -64 + 16x = 91 + -64 Combine like terms: 64 + -64 = 0 0 + 16x = 91 + -64 16x = 91 + -64 Combine like terms: 91 + -64 = 27 16x = 27 Divide each side by '16'. x = 1.6875 Simplifying x = 1.6875
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