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Simplifying 4x + -2 = -7(4x + -2) Reorder the terms: -2 + 4x = -7(4x + -2) Reorder the terms: -2 + 4x = -7(-2 + 4x) -2 + 4x = (-2 * -7 + 4x * -7) -2 + 4x = (14 + -28x) Solving -2 + 4x = 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. -2 + 4x + 28x = 14 + -28x + 28x Combine like terms: 4x + 28x = 32x -2 + 32x = 14 + -28x + 28x Combine like terms: -28x + 28x = 0 -2 + 32x = 14 + 0 -2 + 32x = 14 Add '2' to each side of the equation. -2 + 2 + 32x = 14 + 2 Combine like terms: -2 + 2 = 0 0 + 32x = 14 + 2 32x = 14 + 2 Combine like terms: 14 + 2 = 16 32x = 16 Divide each side by '32'. x = 0.5 Simplifying x = 0.5
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