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Simplifying 3(x + -4) + 2 = 2x + -5(3x + -6) Reorder the terms: 3(-4 + x) + 2 = 2x + -5(3x + -6) (-4 * 3 + x * 3) + 2 = 2x + -5(3x + -6) (-12 + 3x) + 2 = 2x + -5(3x + -6) Reorder the terms: -12 + 2 + 3x = 2x + -5(3x + -6) Combine like terms: -12 + 2 = -10 -10 + 3x = 2x + -5(3x + -6) Reorder the terms: -10 + 3x = 2x + -5(-6 + 3x) -10 + 3x = 2x + (-6 * -5 + 3x * -5) -10 + 3x = 2x + (30 + -15x) Reorder the terms: -10 + 3x = 30 + 2x + -15x Combine like terms: 2x + -15x = -13x -10 + 3x = 30 + -13x Solving -10 + 3x = 30 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. -10 + 3x + 13x = 30 + -13x + 13x Combine like terms: 3x + 13x = 16x -10 + 16x = 30 + -13x + 13x Combine like terms: -13x + 13x = 0 -10 + 16x = 30 + 0 -10 + 16x = 30 Add '10' to each side of the equation. -10 + 10 + 16x = 30 + 10 Combine like terms: -10 + 10 = 0 0 + 16x = 30 + 10 16x = 30 + 10 Combine like terms: 30 + 10 = 40 16x = 40 Divide each side by '16'. x = 2.5 Simplifying x = 2.5
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