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Simplifying 4 = -10(-8 + 4x) + 4(3x + 2) 4 = (-8 * -10 + 4x * -10) + 4(3x + 2) 4 = (80 + -40x) + 4(3x + 2) Reorder the terms: 4 = 80 + -40x + 4(2 + 3x) 4 = 80 + -40x + (2 * 4 + 3x * 4) 4 = 80 + -40x + (8 + 12x) Reorder the terms: 4 = 80 + 8 + -40x + 12x Combine like terms: 80 + 8 = 88 4 = 88 + -40x + 12x Combine like terms: -40x + 12x = -28x 4 = 88 + -28x Solving 4 = 88 + -28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28x' to each side of the equation. 4 + 28x = 88 + -28x + 28x Combine like terms: -28x + 28x = 0 4 + 28x = 88 + 0 4 + 28x = 88 Add '-4' to each side of the equation. 4 + -4 + 28x = 88 + -4 Combine like terms: 4 + -4 = 0 0 + 28x = 88 + -4 28x = 88 + -4 Combine like terms: 88 + -4 = 84 28x = 84 Divide each side by '28'. x = 3 Simplifying x = 3
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