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Simplifying 3(4x + -1) + 5 = 5x + 2(0 + -1x) Reorder the terms: 3(-1 + 4x) + 5 = 5x + 2(0 + -1x) (-1 * 3 + 4x * 3) + 5 = 5x + 2(0 + -1x) (-3 + 12x) + 5 = 5x + 2(0 + -1x) Reorder the terms: -3 + 5 + 12x = 5x + 2(0 + -1x) Combine like terms: -3 + 5 = 2 2 + 12x = 5x + 2(0 + -1x) Remove the zero: 2 + 12x = 5x + 2(-1x) Remove parenthesis around (-1x) 2 + 12x = 5x + 2 * -1x Multiply 2 * -1 2 + 12x = 5x + -2x Combine like terms: 5x + -2x = 3x 2 + 12x = 3x Solving 2 + 12x = 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. 2 + 12x + -3x = 3x + -3x Combine like terms: 12x + -3x = 9x 2 + 9x = 3x + -3x Combine like terms: 3x + -3x = 0 2 + 9x = 0 Add '-2' to each side of the equation. 2 + -2 + 9x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 9x = 0 + -2 9x = 0 + -2 Combine like terms: 0 + -2 = -2 9x = -2 Divide each side by '9'. x = -0.2222222222 Simplifying x = -0.2222222222
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