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Simplifying 4(3x + -2) = 4(x + 10) Reorder the terms: 4(-2 + 3x) = 4(x + 10) (-2 * 4 + 3x * 4) = 4(x + 10) (-8 + 12x) = 4(x + 10) Reorder the terms: -8 + 12x = 4(10 + x) -8 + 12x = (10 * 4 + x * 4) -8 + 12x = (40 + 4x) Solving -8 + 12x = 40 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -8 + 12x + -4x = 40 + 4x + -4x Combine like terms: 12x + -4x = 8x -8 + 8x = 40 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + 8x = 40 + 0 -8 + 8x = 40 Add '8' to each side of the equation. -8 + 8 + 8x = 40 + 8 Combine like terms: -8 + 8 = 0 0 + 8x = 40 + 8 8x = 40 + 8 Combine like terms: 40 + 8 = 48 8x = 48 Divide each side by '8'. x = 6 Simplifying x = 6
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