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Simplifying 6 + -5(2x + -3) = 4(x + -6) Reorder the terms: 6 + -5(-3 + 2x) = 4(x + -6) 6 + (-3 * -5 + 2x * -5) = 4(x + -6) 6 + (15 + -10x) = 4(x + -6) Combine like terms: 6 + 15 = 21 21 + -10x = 4(x + -6) Reorder the terms: 21 + -10x = 4(-6 + x) 21 + -10x = (-6 * 4 + x * 4) 21 + -10x = (-24 + 4x) Solving 21 + -10x = -24 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 21 + -10x + -4x = -24 + 4x + -4x Combine like terms: -10x + -4x = -14x 21 + -14x = -24 + 4x + -4x Combine like terms: 4x + -4x = 0 21 + -14x = -24 + 0 21 + -14x = -24 Add '-21' to each side of the equation. 21 + -21 + -14x = -24 + -21 Combine like terms: 21 + -21 = 0 0 + -14x = -24 + -21 -14x = -24 + -21 Combine like terms: -24 + -21 = -45 -14x = -45 Divide each side by '-14'. x = 3.214285714 Simplifying x = 3.214285714
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