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Simplifying -5(3x + -4) + 3x = x + -6 Reorder the terms: -5(-4 + 3x) + 3x = x + -6 (-4 * -5 + 3x * -5) + 3x = x + -6 (20 + -15x) + 3x = x + -6 Combine like terms: -15x + 3x = -12x 20 + -12x = x + -6 Reorder the terms: 20 + -12x = -6 + x Solving 20 + -12x = -6 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 20 + -12x + -1x = -6 + x + -1x Combine like terms: -12x + -1x = -13x 20 + -13x = -6 + x + -1x Combine like terms: x + -1x = 0 20 + -13x = -6 + 0 20 + -13x = -6 Add '-20' to each side of the equation. 20 + -20 + -13x = -6 + -20 Combine like terms: 20 + -20 = 0 0 + -13x = -6 + -20 -13x = -6 + -20 Combine like terms: -6 + -20 = -26 -13x = -26 Divide each side by '-13'. x = 2 Simplifying x = 2
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