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Simplifying 8 + -2(x + -6) = 13 + 4(x + -5) Reorder the terms: 8 + -2(-6 + x) = 13 + 4(x + -5) 8 + (-6 * -2 + x * -2) = 13 + 4(x + -5) 8 + (12 + -2x) = 13 + 4(x + -5) Combine like terms: 8 + 12 = 20 20 + -2x = 13 + 4(x + -5) Reorder the terms: 20 + -2x = 13 + 4(-5 + x) 20 + -2x = 13 + (-5 * 4 + x * 4) 20 + -2x = 13 + (-20 + 4x) Combine like terms: 13 + -20 = -7 20 + -2x = -7 + 4x Solving 20 + -2x = -7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 20 + -2x + -4x = -7 + 4x + -4x Combine like terms: -2x + -4x = -6x 20 + -6x = -7 + 4x + -4x Combine like terms: 4x + -4x = 0 20 + -6x = -7 + 0 20 + -6x = -7 Add '-20' to each side of the equation. 20 + -20 + -6x = -7 + -20 Combine like terms: 20 + -20 = 0 0 + -6x = -7 + -20 -6x = -7 + -20 Combine like terms: -7 + -20 = -27 -6x = -27 Divide each side by '-6'. x = 4.5 Simplifying x = 4.5
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