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Simplifying 3x + -5(3x + -2) = 4(6x + -5) Reorder the terms: 3x + -5(-2 + 3x) = 4(6x + -5) 3x + (-2 * -5 + 3x * -5) = 4(6x + -5) 3x + (10 + -15x) = 4(6x + -5) Reorder the terms: 10 + 3x + -15x = 4(6x + -5) Combine like terms: 3x + -15x = -12x 10 + -12x = 4(6x + -5) Reorder the terms: 10 + -12x = 4(-5 + 6x) 10 + -12x = (-5 * 4 + 6x * 4) 10 + -12x = (-20 + 24x) Solving 10 + -12x = -20 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 10 + -12x + -24x = -20 + 24x + -24x Combine like terms: -12x + -24x = -36x 10 + -36x = -20 + 24x + -24x Combine like terms: 24x + -24x = 0 10 + -36x = -20 + 0 10 + -36x = -20 Add '-10' to each side of the equation. 10 + -10 + -36x = -20 + -10 Combine like terms: 10 + -10 = 0 0 + -36x = -20 + -10 -36x = -20 + -10 Combine like terms: -20 + -10 = -30 -36x = -30 Divide each side by '-36'. x = 0.8333333333 Simplifying x = 0.8333333333
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