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Simplifying -3(4x + -5) + 4x = 6x + -2 Reorder the terms: -3(-5 + 4x) + 4x = 6x + -2 (-5 * -3 + 4x * -3) + 4x = 6x + -2 (15 + -12x) + 4x = 6x + -2 Combine like terms: -12x + 4x = -8x 15 + -8x = 6x + -2 Reorder the terms: 15 + -8x = -2 + 6x Solving 15 + -8x = -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. 15 + -8x + -6x = -2 + 6x + -6x Combine like terms: -8x + -6x = -14x 15 + -14x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 15 + -14x = -2 + 0 15 + -14x = -2 Add '-15' to each side of the equation. 15 + -15 + -14x = -2 + -15 Combine like terms: 15 + -15 = 0 0 + -14x = -2 + -15 -14x = -2 + -15 Combine like terms: -2 + -15 = -17 -14x = -17 Divide each side by '-14'. x = 1.214285714 Simplifying x = 1.214285714
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