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Simplifying 2x + -8(x + 12) = 4x(-7) Reorder the terms: 2x + -8(12 + x) = 4x(-7) 2x + (12 * -8 + x * -8) = 4x(-7) 2x + (-96 + -8x) = 4x(-7) Reorder the terms: -96 + 2x + -8x = 4x(-7) Combine like terms: 2x + -8x = -6x -96 + -6x = 4x(-7) Reorder the terms for easier multiplication: -96 + -6x = 4 * -7x Multiply 4 * -7 -96 + -6x = -28x Solving -96 + -6x = -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. -96 + -6x + 28x = -28x + 28x Combine like terms: -6x + 28x = 22x -96 + 22x = -28x + 28x Combine like terms: -28x + 28x = 0 -96 + 22x = 0 Add '96' to each side of the equation. -96 + 96 + 22x = 0 + 96 Combine like terms: -96 + 96 = 0 0 + 22x = 0 + 96 22x = 0 + 96 Combine like terms: 0 + 96 = 96 22x = 96 Divide each side by '22'. x = 4.363636364 Simplifying x = 4.363636364
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