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Simplifying 2x + -3(5x + -4) = 6(2x + -5) Reorder the terms: 2x + -3(-4 + 5x) = 6(2x + -5) 2x + (-4 * -3 + 5x * -3) = 6(2x + -5) 2x + (12 + -15x) = 6(2x + -5) Reorder the terms: 12 + 2x + -15x = 6(2x + -5) Combine like terms: 2x + -15x = -13x 12 + -13x = 6(2x + -5) Reorder the terms: 12 + -13x = 6(-5 + 2x) 12 + -13x = (-5 * 6 + 2x * 6) 12 + -13x = (-30 + 12x) Solving 12 + -13x = -30 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 12 + -13x + -12x = -30 + 12x + -12x Combine like terms: -13x + -12x = -25x 12 + -25x = -30 + 12x + -12x Combine like terms: 12x + -12x = 0 12 + -25x = -30 + 0 12 + -25x = -30 Add '-12' to each side of the equation. 12 + -12 + -25x = -30 + -12 Combine like terms: 12 + -12 = 0 0 + -25x = -30 + -12 -25x = -30 + -12 Combine like terms: -30 + -12 = -42 -25x = -42 Divide each side by '-25'. x = 1.68 Simplifying x = 1.68
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