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Simplifying 5(x + 4) + 2x = -4 + 6(x + -4) Reorder the terms: 5(4 + x) + 2x = -4 + 6(x + -4) (4 * 5 + x * 5) + 2x = -4 + 6(x + -4) (20 + 5x) + 2x = -4 + 6(x + -4) Combine like terms: 5x + 2x = 7x 20 + 7x = -4 + 6(x + -4) Reorder the terms: 20 + 7x = -4 + 6(-4 + x) 20 + 7x = -4 + (-4 * 6 + x * 6) 20 + 7x = -4 + (-24 + 6x) Combine like terms: -4 + -24 = -28 20 + 7x = -28 + 6x Solving 20 + 7x = -28 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 20 + 7x + -6x = -28 + 6x + -6x Combine like terms: 7x + -6x = 1x 20 + 1x = -28 + 6x + -6x Combine like terms: 6x + -6x = 0 20 + 1x = -28 + 0 20 + 1x = -28 Add '-20' to each side of the equation. 20 + -20 + 1x = -28 + -20 Combine like terms: 20 + -20 = 0 0 + 1x = -28 + -20 1x = -28 + -20 Combine like terms: -28 + -20 = -48 1x = -48 Divide each side by '1'. x = -48 Simplifying x = -48
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