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Simplifying 4(x + -6) + 7x = 5(2x + -1) Reorder the terms: 4(-6 + x) + 7x = 5(2x + -1) (-6 * 4 + x * 4) + 7x = 5(2x + -1) (-24 + 4x) + 7x = 5(2x + -1) Combine like terms: 4x + 7x = 11x -24 + 11x = 5(2x + -1) Reorder the terms: -24 + 11x = 5(-1 + 2x) -24 + 11x = (-1 * 5 + 2x * 5) -24 + 11x = (-5 + 10x) Solving -24 + 11x = -5 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -24 + 11x + -10x = -5 + 10x + -10x Combine like terms: 11x + -10x = 1x -24 + 1x = -5 + 10x + -10x Combine like terms: 10x + -10x = 0 -24 + 1x = -5 + 0 -24 + 1x = -5 Add '24' to each side of the equation. -24 + 24 + 1x = -5 + 24 Combine like terms: -24 + 24 = 0 0 + 1x = -5 + 24 1x = -5 + 24 Combine like terms: -5 + 24 = 19 1x = 19 Divide each side by '1'. x = 19 Simplifying x = 19
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