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Simplifying 23 + -4(x + -8) = 2(x + -5) + -7 Reorder the terms: 23 + -4(-8 + x) = 2(x + -5) + -7 23 + (-8 * -4 + x * -4) = 2(x + -5) + -7 23 + (32 + -4x) = 2(x + -5) + -7 Combine like terms: 23 + 32 = 55 55 + -4x = 2(x + -5) + -7 Reorder the terms: 55 + -4x = 2(-5 + x) + -7 55 + -4x = (-5 * 2 + x * 2) + -7 55 + -4x = (-10 + 2x) + -7 Reorder the terms: 55 + -4x = -10 + -7 + 2x Combine like terms: -10 + -7 = -17 55 + -4x = -17 + 2x Solving 55 + -4x = -17 + 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. 55 + -4x + -2x = -17 + 2x + -2x Combine like terms: -4x + -2x = -6x 55 + -6x = -17 + 2x + -2x Combine like terms: 2x + -2x = 0 55 + -6x = -17 + 0 55 + -6x = -17 Add '-55' to each side of the equation. 55 + -55 + -6x = -17 + -55 Combine like terms: 55 + -55 = 0 0 + -6x = -17 + -55 -6x = -17 + -55 Combine like terms: -17 + -55 = -72 -6x = -72 Divide each side by '-6'. x = 12 Simplifying x = 12
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