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Simplifying 18 + -2x + -3(x + -6) + -5(2x + -1) = 2(4x + -5) Reorder the terms: 18 + -2x + -3(-6 + x) + -5(2x + -1) = 2(4x + -5) 18 + -2x + (-6 * -3 + x * -3) + -5(2x + -1) = 2(4x + -5) 18 + -2x + (18 + -3x) + -5(2x + -1) = 2(4x + -5) Reorder the terms: 18 + -2x + 18 + -3x + -5(-1 + 2x) = 2(4x + -5) 18 + -2x + 18 + -3x + (-1 * -5 + 2x * -5) = 2(4x + -5) 18 + -2x + 18 + -3x + (5 + -10x) = 2(4x + -5) Reorder the terms: 18 + 18 + 5 + -2x + -3x + -10x = 2(4x + -5) Combine like terms: 18 + 18 = 36 36 + 5 + -2x + -3x + -10x = 2(4x + -5) Combine like terms: 36 + 5 = 41 41 + -2x + -3x + -10x = 2(4x + -5) Combine like terms: -2x + -3x = -5x 41 + -5x + -10x = 2(4x + -5) Combine like terms: -5x + -10x = -15x 41 + -15x = 2(4x + -5) Reorder the terms: 41 + -15x = 2(-5 + 4x) 41 + -15x = (-5 * 2 + 4x * 2) 41 + -15x = (-10 + 8x) Solving 41 + -15x = -10 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 41 + -15x + -8x = -10 + 8x + -8x Combine like terms: -15x + -8x = -23x 41 + -23x = -10 + 8x + -8x Combine like terms: 8x + -8x = 0 41 + -23x = -10 + 0 41 + -23x = -10 Add '-41' to each side of the equation. 41 + -41 + -23x = -10 + -41 Combine like terms: 41 + -41 = 0 0 + -23x = -10 + -41 -23x = -10 + -41 Combine like terms: -10 + -41 = -51 -23x = -51 Divide each side by '-23'. x = 2.217391304 Simplifying x = 2.217391304
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