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Simplifying 4(x + 7) = -2(4x + -6) + 6x Reorder the terms: 4(7 + x) = -2(4x + -6) + 6x (7 * 4 + x * 4) = -2(4x + -6) + 6x (28 + 4x) = -2(4x + -6) + 6x Reorder the terms: 28 + 4x = -2(-6 + 4x) + 6x 28 + 4x = (-6 * -2 + 4x * -2) + 6x 28 + 4x = (12 + -8x) + 6x Combine like terms: -8x + 6x = -2x 28 + 4x = 12 + -2x Solving 28 + 4x = 12 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 28 + 4x + 2x = 12 + -2x + 2x Combine like terms: 4x + 2x = 6x 28 + 6x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 28 + 6x = 12 + 0 28 + 6x = 12 Add '-28' to each side of the equation. 28 + -28 + 6x = 12 + -28 Combine like terms: 28 + -28 = 0 0 + 6x = 12 + -28 6x = 12 + -28 Combine like terms: 12 + -28 = -16 6x = -16 Divide each side by '6'. x = -2.666666667 Simplifying x = -2.666666667
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