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Simplifying 7x = 4(x + -5) + -1(3x + -8) Reorder the terms: 7x = 4(-5 + x) + -1(3x + -8) 7x = (-5 * 4 + x * 4) + -1(3x + -8) 7x = (-20 + 4x) + -1(3x + -8) Reorder the terms: 7x = -20 + 4x + -1(-8 + 3x) 7x = -20 + 4x + (-8 * -1 + 3x * -1) 7x = -20 + 4x + (8 + -3x) Reorder the terms: 7x = -20 + 8 + 4x + -3x Combine like terms: -20 + 8 = -12 7x = -12 + 4x + -3x Combine like terms: 4x + -3x = 1x 7x = -12 + 1x Solving 7x = -12 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 7x + -1x = -12 + 1x + -1x Combine like terms: 7x + -1x = 6x 6x = -12 + 1x + -1x Combine like terms: 1x + -1x = 0 6x = -12 + 0 6x = -12 Divide each side by '6'. x = -2 Simplifying x = -2
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