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Simplifying 4(x + 6) = -7(2x + -3) + 6x Reorder the terms: 4(6 + x) = -7(2x + -3) + 6x (6 * 4 + x * 4) = -7(2x + -3) + 6x (24 + 4x) = -7(2x + -3) + 6x Reorder the terms: 24 + 4x = -7(-3 + 2x) + 6x 24 + 4x = (-3 * -7 + 2x * -7) + 6x 24 + 4x = (21 + -14x) + 6x Combine like terms: -14x + 6x = -8x 24 + 4x = 21 + -8x Solving 24 + 4x = 21 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 24 + 4x + 8x = 21 + -8x + 8x Combine like terms: 4x + 8x = 12x 24 + 12x = 21 + -8x + 8x Combine like terms: -8x + 8x = 0 24 + 12x = 21 + 0 24 + 12x = 21 Add '-24' to each side of the equation. 24 + -24 + 12x = 21 + -24 Combine like terms: 24 + -24 = 0 0 + 12x = 21 + -24 12x = 21 + -24 Combine like terms: 21 + -24 = -3 12x = -3 Divide each side by '12'. x = -0.25 Simplifying x = -0.25
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