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Simplifying 5(x + 6) + -1(x + 28) = -2x Reorder the terms: 5(6 + x) + -1(x + 28) = -2x (6 * 5 + x * 5) + -1(x + 28) = -2x (30 + 5x) + -1(x + 28) = -2x Reorder the terms: 30 + 5x + -1(28 + x) = -2x 30 + 5x + (28 * -1 + x * -1) = -2x 30 + 5x + (-28 + -1x) = -2x Reorder the terms: 30 + -28 + 5x + -1x = -2x Combine like terms: 30 + -28 = 2 2 + 5x + -1x = -2x Combine like terms: 5x + -1x = 4x 2 + 4x = -2x Solving 2 + 4x = -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. 2 + 4x + 2x = -2x + 2x Combine like terms: 4x + 2x = 6x 2 + 6x = -2x + 2x Combine like terms: -2x + 2x = 0 2 + 6x = 0 Add '-2' to each side of the equation. 2 + -2 + 6x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 6x = 0 + -2 6x = 0 + -2 Combine like terms: 0 + -2 = -2 6x = -2 Divide each side by '6'. x = -0.3333333333 Simplifying x = -0.3333333333
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