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Simplifying 7x + -5(x + -8) = 12 + 4(3x + -5) Reorder the terms: 7x + -5(-8 + x) = 12 + 4(3x + -5) 7x + (-8 * -5 + x * -5) = 12 + 4(3x + -5) 7x + (40 + -5x) = 12 + 4(3x + -5) Reorder the terms: 40 + 7x + -5x = 12 + 4(3x + -5) Combine like terms: 7x + -5x = 2x 40 + 2x = 12 + 4(3x + -5) Reorder the terms: 40 + 2x = 12 + 4(-5 + 3x) 40 + 2x = 12 + (-5 * 4 + 3x * 4) 40 + 2x = 12 + (-20 + 12x) Combine like terms: 12 + -20 = -8 40 + 2x = -8 + 12x Solving 40 + 2x = -8 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 40 + 2x + -12x = -8 + 12x + -12x Combine like terms: 2x + -12x = -10x 40 + -10x = -8 + 12x + -12x Combine like terms: 12x + -12x = 0 40 + -10x = -8 + 0 40 + -10x = -8 Add '-40' to each side of the equation. 40 + -40 + -10x = -8 + -40 Combine like terms: 40 + -40 = 0 0 + -10x = -8 + -40 -10x = -8 + -40 Combine like terms: -8 + -40 = -48 -10x = -48 Divide each side by '-10'. x = 4.8 Simplifying x = 4.8
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