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Simplifying 4x + 13 + -2x + -4(x + -3) + -5 = 2(x + -6) Reorder the terms: 4x + 13 + -2x + -4(-3 + x) + -5 = 2(x + -6) 4x + 13 + -2x + (-3 * -4 + x * -4) + -5 = 2(x + -6) 4x + 13 + -2x + (12 + -4x) + -5 = 2(x + -6) Reorder the terms: 13 + 12 + -5 + 4x + -2x + -4x = 2(x + -6) Combine like terms: 13 + 12 = 25 25 + -5 + 4x + -2x + -4x = 2(x + -6) Combine like terms: 25 + -5 = 20 20 + 4x + -2x + -4x = 2(x + -6) Combine like terms: 4x + -2x = 2x 20 + 2x + -4x = 2(x + -6) Combine like terms: 2x + -4x = -2x 20 + -2x = 2(x + -6) Reorder the terms: 20 + -2x = 2(-6 + x) 20 + -2x = (-6 * 2 + x * 2) 20 + -2x = (-12 + 2x) Solving 20 + -2x = -12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 20 + -2x + -2x = -12 + 2x + -2x Combine like terms: -2x + -2x = -4x 20 + -4x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 20 + -4x = -12 + 0 20 + -4x = -12 Add '-20' to each side of the equation. 20 + -20 + -4x = -12 + -20 Combine like terms: 20 + -20 = 0 0 + -4x = -12 + -20 -4x = -12 + -20 Combine like terms: -12 + -20 = -32 -4x = -32 Divide each side by '-4'. x = 8 Simplifying x = 8
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