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Simplifying 2 + 3(4x + -5) = -2(4x + -1) + 2x Reorder the terms: 2 + 3(-5 + 4x) = -2(4x + -1) + 2x 2 + (-5 * 3 + 4x * 3) = -2(4x + -1) + 2x 2 + (-15 + 12x) = -2(4x + -1) + 2x Combine like terms: 2 + -15 = -13 -13 + 12x = -2(4x + -1) + 2x Reorder the terms: -13 + 12x = -2(-1 + 4x) + 2x -13 + 12x = (-1 * -2 + 4x * -2) + 2x -13 + 12x = (2 + -8x) + 2x Combine like terms: -8x + 2x = -6x -13 + 12x = 2 + -6x Solving -13 + 12x = 2 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -13 + 12x + 6x = 2 + -6x + 6x Combine like terms: 12x + 6x = 18x -13 + 18x = 2 + -6x + 6x Combine like terms: -6x + 6x = 0 -13 + 18x = 2 + 0 -13 + 18x = 2 Add '13' to each side of the equation. -13 + 13 + 18x = 2 + 13 Combine like terms: -13 + 13 = 0 0 + 18x = 2 + 13 18x = 2 + 13 Combine like terms: 2 + 13 = 15 18x = 15 Divide each side by '18'. x = 0.8333333333 Simplifying x = 0.8333333333
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