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Simplifying 10x + 2(x + -4) = 3(2x + -1) + 7 Reorder the terms: 10x + 2(-4 + x) = 3(2x + -1) + 7 10x + (-4 * 2 + x * 2) = 3(2x + -1) + 7 10x + (-8 + 2x) = 3(2x + -1) + 7 Reorder the terms: -8 + 10x + 2x = 3(2x + -1) + 7 Combine like terms: 10x + 2x = 12x -8 + 12x = 3(2x + -1) + 7 Reorder the terms: -8 + 12x = 3(-1 + 2x) + 7 -8 + 12x = (-1 * 3 + 2x * 3) + 7 -8 + 12x = (-3 + 6x) + 7 Reorder the terms: -8 + 12x = -3 + 7 + 6x Combine like terms: -3 + 7 = 4 -8 + 12x = 4 + 6x Solving -8 + 12x = 4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -8 + 12x + -6x = 4 + 6x + -6x Combine like terms: 12x + -6x = 6x -8 + 6x = 4 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + 6x = 4 + 0 -8 + 6x = 4 Add '8' to each side of the equation. -8 + 8 + 6x = 4 + 8 Combine like terms: -8 + 8 = 0 0 + 6x = 4 + 8 6x = 4 + 8 Combine like terms: 4 + 8 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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