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Simplifying 5x + -1(-3x + 6) = 10x + -28 Reorder the terms: 5x + -1(6 + -3x) = 10x + -28 5x + (6 * -1 + -3x * -1) = 10x + -28 5x + (-6 + 3x) = 10x + -28 Reorder the terms: -6 + 5x + 3x = 10x + -28 Combine like terms: 5x + 3x = 8x -6 + 8x = 10x + -28 Reorder the terms: -6 + 8x = -28 + 10x Solving -6 + 8x = -28 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -6 + 8x + -10x = -28 + 10x + -10x Combine like terms: 8x + -10x = -2x -6 + -2x = -28 + 10x + -10x Combine like terms: 10x + -10x = 0 -6 + -2x = -28 + 0 -6 + -2x = -28 Add '6' to each side of the equation. -6 + 6 + -2x = -28 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = -28 + 6 -2x = -28 + 6 Combine like terms: -28 + 6 = -22 -2x = -22 Divide each side by '-2'. x = 11 Simplifying x = 11
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