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Simplifying 4 + 6(x + -3) = 3 + -5(x + -4) Reorder the terms: 4 + 6(-3 + x) = 3 + -5(x + -4) 4 + (-3 * 6 + x * 6) = 3 + -5(x + -4) 4 + (-18 + 6x) = 3 + -5(x + -4) Combine like terms: 4 + -18 = -14 -14 + 6x = 3 + -5(x + -4) Reorder the terms: -14 + 6x = 3 + -5(-4 + x) -14 + 6x = 3 + (-4 * -5 + x * -5) -14 + 6x = 3 + (20 + -5x) Combine like terms: 3 + 20 = 23 -14 + 6x = 23 + -5x Solving -14 + 6x = 23 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -14 + 6x + 5x = 23 + -5x + 5x Combine like terms: 6x + 5x = 11x -14 + 11x = 23 + -5x + 5x Combine like terms: -5x + 5x = 0 -14 + 11x = 23 + 0 -14 + 11x = 23 Add '14' to each side of the equation. -14 + 14 + 11x = 23 + 14 Combine like terms: -14 + 14 = 0 0 + 11x = 23 + 14 11x = 23 + 14 Combine like terms: 23 + 14 = 37 11x = 37 Divide each side by '11'. x = 3.363636364 Simplifying x = 3.363636364
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