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Simplifying 4(x + 5) + -3(2x + 1) + -8 = 6(x + -10) + 109 Reorder the terms: 4(5 + x) + -3(2x + 1) + -8 = 6(x + -10) + 109 (5 * 4 + x * 4) + -3(2x + 1) + -8 = 6(x + -10) + 109 (20 + 4x) + -3(2x + 1) + -8 = 6(x + -10) + 109 Reorder the terms: 20 + 4x + -3(1 + 2x) + -8 = 6(x + -10) + 109 20 + 4x + (1 * -3 + 2x * -3) + -8 = 6(x + -10) + 109 20 + 4x + (-3 + -6x) + -8 = 6(x + -10) + 109 Reorder the terms: 20 + -3 + -8 + 4x + -6x = 6(x + -10) + 109 Combine like terms: 20 + -3 = 17 17 + -8 + 4x + -6x = 6(x + -10) + 109 Combine like terms: 17 + -8 = 9 9 + 4x + -6x = 6(x + -10) + 109 Combine like terms: 4x + -6x = -2x 9 + -2x = 6(x + -10) + 109 Reorder the terms: 9 + -2x = 6(-10 + x) + 109 9 + -2x = (-10 * 6 + x * 6) + 109 9 + -2x = (-60 + 6x) + 109 Reorder the terms: 9 + -2x = -60 + 109 + 6x Combine like terms: -60 + 109 = 49 9 + -2x = 49 + 6x Solving 9 + -2x = 49 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 9 + -2x + -6x = 49 + 6x + -6x Combine like terms: -2x + -6x = -8x 9 + -8x = 49 + 6x + -6x Combine like terms: 6x + -6x = 0 9 + -8x = 49 + 0 9 + -8x = 49 Add '-9' to each side of the equation. 9 + -9 + -8x = 49 + -9 Combine like terms: 9 + -9 = 0 0 + -8x = 49 + -9 -8x = 49 + -9 Combine like terms: 49 + -9 = 40 -8x = 40 Divide each side by '-8'. x = -5 Simplifying x = -5
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