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Simplifying 8(2 + 5x) + -4(6x + 7) = 10x (2 * 8 + 5x * 8) + -4(6x + 7) = 10x (16 + 40x) + -4(6x + 7) = 10x Reorder the terms: 16 + 40x + -4(7 + 6x) = 10x 16 + 40x + (7 * -4 + 6x * -4) = 10x 16 + 40x + (-28 + -24x) = 10x Reorder the terms: 16 + -28 + 40x + -24x = 10x Combine like terms: 16 + -28 = -12 -12 + 40x + -24x = 10x Combine like terms: 40x + -24x = 16x -12 + 16x = 10x Solving -12 + 16x = 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -12 + 16x + -10x = 10x + -10x Combine like terms: 16x + -10x = 6x -12 + 6x = 10x + -10x Combine like terms: 10x + -10x = 0 -12 + 6x = 0 Add '12' to each side of the equation. -12 + 12 + 6x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 6x = 0 + 12 6x = 0 + 12 Combine like terms: 0 + 12 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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