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Simplifying 4(4x + -6) = 7(4x + -2) Reorder the terms: 4(-6 + 4x) = 7(4x + -2) (-6 * 4 + 4x * 4) = 7(4x + -2) (-24 + 16x) = 7(4x + -2) Reorder the terms: -24 + 16x = 7(-2 + 4x) -24 + 16x = (-2 * 7 + 4x * 7) -24 + 16x = (-14 + 28x) Solving -24 + 16x = -14 + 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. -24 + 16x + -28x = -14 + 28x + -28x Combine like terms: 16x + -28x = -12x -24 + -12x = -14 + 28x + -28x Combine like terms: 28x + -28x = 0 -24 + -12x = -14 + 0 -24 + -12x = -14 Add '24' to each side of the equation. -24 + 24 + -12x = -14 + 24 Combine like terms: -24 + 24 = 0 0 + -12x = -14 + 24 -12x = -14 + 24 Combine like terms: -14 + 24 = 10 -12x = 10 Divide each side by '-12'. x = -0.8333333333 Simplifying x = -0.8333333333
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