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Simplifying 10(4)(x + -2) = 6(2)(x + -2) Reorder the terms: 10 * 4(-2 + x) = 6(2)(x + -2) Multiply 10 * 4 40(-2 + x) = 6(2)(x + -2) (-2 * 40 + x * 40) = 6(2)(x + -2) (-80 + 40x) = 6(2)(x + -2) Reorder the terms: -80 + 40x = 6 * 2(-2 + x) Multiply 6 * 2 -80 + 40x = 12(-2 + x) -80 + 40x = (-2 * 12 + x * 12) -80 + 40x = (-24 + 12x) Solving -80 + 40x = -24 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -80 + 40x + -12x = -24 + 12x + -12x Combine like terms: 40x + -12x = 28x -80 + 28x = -24 + 12x + -12x Combine like terms: 12x + -12x = 0 -80 + 28x = -24 + 0 -80 + 28x = -24 Add '80' to each side of the equation. -80 + 80 + 28x = -24 + 80 Combine like terms: -80 + 80 = 0 0 + 28x = -24 + 80 28x = -24 + 80 Combine like terms: -24 + 80 = 56 28x = 56 Divide each side by '28'. x = 2 Simplifying x = 2
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