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Simplifying 2(3x + -3) + -5 = 2(x + -5) + 27 Reorder the terms: 2(-3 + 3x) + -5 = 2(x + -5) + 27 (-3 * 2 + 3x * 2) + -5 = 2(x + -5) + 27 (-6 + 6x) + -5 = 2(x + -5) + 27 Reorder the terms: -6 + -5 + 6x = 2(x + -5) + 27 Combine like terms: -6 + -5 = -11 -11 + 6x = 2(x + -5) + 27 Reorder the terms: -11 + 6x = 2(-5 + x) + 27 -11 + 6x = (-5 * 2 + x * 2) + 27 -11 + 6x = (-10 + 2x) + 27 Reorder the terms: -11 + 6x = -10 + 27 + 2x Combine like terms: -10 + 27 = 17 -11 + 6x = 17 + 2x Solving -11 + 6x = 17 + 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. -11 + 6x + -2x = 17 + 2x + -2x Combine like terms: 6x + -2x = 4x -11 + 4x = 17 + 2x + -2x Combine like terms: 2x + -2x = 0 -11 + 4x = 17 + 0 -11 + 4x = 17 Add '11' to each side of the equation. -11 + 11 + 4x = 17 + 11 Combine like terms: -11 + 11 = 0 0 + 4x = 17 + 11 4x = 17 + 11 Combine like terms: 17 + 11 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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