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Simplifying 3(2x + -2) + -5 = 3(x + -5) + 28 Reorder the terms: 3(-2 + 2x) + -5 = 3(x + -5) + 28 (-2 * 3 + 2x * 3) + -5 = 3(x + -5) + 28 (-6 + 6x) + -5 = 3(x + -5) + 28 Reorder the terms: -6 + -5 + 6x = 3(x + -5) + 28 Combine like terms: -6 + -5 = -11 -11 + 6x = 3(x + -5) + 28 Reorder the terms: -11 + 6x = 3(-5 + x) + 28 -11 + 6x = (-5 * 3 + x * 3) + 28 -11 + 6x = (-15 + 3x) + 28 Reorder the terms: -11 + 6x = -15 + 28 + 3x Combine like terms: -15 + 28 = 13 -11 + 6x = 13 + 3x Solving -11 + 6x = 13 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -11 + 6x + -3x = 13 + 3x + -3x Combine like terms: 6x + -3x = 3x -11 + 3x = 13 + 3x + -3x Combine like terms: 3x + -3x = 0 -11 + 3x = 13 + 0 -11 + 3x = 13 Add '11' to each side of the equation. -11 + 11 + 3x = 13 + 11 Combine like terms: -11 + 11 = 0 0 + 3x = 13 + 11 3x = 13 + 11 Combine like terms: 13 + 11 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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