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Simplifying 3(x + -2) + 5 = 5(3x + -5) Reorder the terms: 3(-2 + x) + 5 = 5(3x + -5) (-2 * 3 + x * 3) + 5 = 5(3x + -5) (-6 + 3x) + 5 = 5(3x + -5) Reorder the terms: -6 + 5 + 3x = 5(3x + -5) Combine like terms: -6 + 5 = -1 -1 + 3x = 5(3x + -5) Reorder the terms: -1 + 3x = 5(-5 + 3x) -1 + 3x = (-5 * 5 + 3x * 5) -1 + 3x = (-25 + 15x) Solving -1 + 3x = -25 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -1 + 3x + -15x = -25 + 15x + -15x Combine like terms: 3x + -15x = -12x -1 + -12x = -25 + 15x + -15x Combine like terms: 15x + -15x = 0 -1 + -12x = -25 + 0 -1 + -12x = -25 Add '1' to each side of the equation. -1 + 1 + -12x = -25 + 1 Combine like terms: -1 + 1 = 0 0 + -12x = -25 + 1 -12x = -25 + 1 Combine like terms: -25 + 1 = -24 -12x = -24 Divide each side by '-12'. x = 2 Simplifying x = 2
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