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Simplifying 2(3x + -20) = 3(5x + -4) Reorder the terms: 2(-20 + 3x) = 3(5x + -4) (-20 * 2 + 3x * 2) = 3(5x + -4) (-40 + 6x) = 3(5x + -4) Reorder the terms: -40 + 6x = 3(-4 + 5x) -40 + 6x = (-4 * 3 + 5x * 3) -40 + 6x = (-12 + 15x) Solving -40 + 6x = -12 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -40 + 6x + -15x = -12 + 15x + -15x Combine like terms: 6x + -15x = -9x -40 + -9x = -12 + 15x + -15x Combine like terms: 15x + -15x = 0 -40 + -9x = -12 + 0 -40 + -9x = -12 Add '40' to each side of the equation. -40 + 40 + -9x = -12 + 40 Combine like terms: -40 + 40 = 0 0 + -9x = -12 + 40 -9x = -12 + 40 Combine like terms: -12 + 40 = 28 -9x = 28 Divide each side by '-9'. x = -3.111111111 Simplifying x = -3.111111111
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