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Simplifying 5x + -1(x + -28) = 6 + -2(x + 15) Reorder the terms: 5x + -1(-28 + x) = 6 + -2(x + 15) 5x + (-28 * -1 + x * -1) = 6 + -2(x + 15) 5x + (28 + -1x) = 6 + -2(x + 15) Reorder the terms: 28 + 5x + -1x = 6 + -2(x + 15) Combine like terms: 5x + -1x = 4x 28 + 4x = 6 + -2(x + 15) Reorder the terms: 28 + 4x = 6 + -2(15 + x) 28 + 4x = 6 + (15 * -2 + x * -2) 28 + 4x = 6 + (-30 + -2x) Combine like terms: 6 + -30 = -24 28 + 4x = -24 + -2x Solving 28 + 4x = -24 + -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 = -24 + -2x + 2x Combine like terms: 4x + 2x = 6x 28 + 6x = -24 + -2x + 2x Combine like terms: -2x + 2x = 0 28 + 6x = -24 + 0 28 + 6x = -24 Add '-28' to each side of the equation. 28 + -28 + 6x = -24 + -28 Combine like terms: 28 + -28 = 0 0 + 6x = -24 + -28 6x = -24 + -28 Combine like terms: -24 + -28 = -52 6x = -52 Divide each side by '6'. x = -8.666666667 Simplifying x = -8.666666667
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