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Simplifying 4(x + -7) = 6x + 2 + 8x Reorder the terms: 4(-7 + x) = 6x + 2 + 8x (-7 * 4 + x * 4) = 6x + 2 + 8x (-28 + 4x) = 6x + 2 + 8x Reorder the terms: -28 + 4x = 2 + 6x + 8x Combine like terms: 6x + 8x = 14x -28 + 4x = 2 + 14x Solving -28 + 4x = 2 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -28 + 4x + -14x = 2 + 14x + -14x Combine like terms: 4x + -14x = -10x -28 + -10x = 2 + 14x + -14x Combine like terms: 14x + -14x = 0 -28 + -10x = 2 + 0 -28 + -10x = 2 Add '28' to each side of the equation. -28 + 28 + -10x = 2 + 28 Combine like terms: -28 + 28 = 0 0 + -10x = 2 + 28 -10x = 2 + 28 Combine like terms: 2 + 28 = 30 -10x = 30 Divide each side by '-10'. x = -3 Simplifying x = -3
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