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Simplifying 4(4x + 3) + -6(x + 3) = 5x + -11 Reorder the terms: 4(3 + 4x) + -6(x + 3) = 5x + -11 (3 * 4 + 4x * 4) + -6(x + 3) = 5x + -11 (12 + 16x) + -6(x + 3) = 5x + -11 Reorder the terms: 12 + 16x + -6(3 + x) = 5x + -11 12 + 16x + (3 * -6 + x * -6) = 5x + -11 12 + 16x + (-18 + -6x) = 5x + -11 Reorder the terms: 12 + -18 + 16x + -6x = 5x + -11 Combine like terms: 12 + -18 = -6 -6 + 16x + -6x = 5x + -11 Combine like terms: 16x + -6x = 10x -6 + 10x = 5x + -11 Reorder the terms: -6 + 10x = -11 + 5x Solving -6 + 10x = -11 + 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. -6 + 10x + -5x = -11 + 5x + -5x Combine like terms: 10x + -5x = 5x -6 + 5x = -11 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + 5x = -11 + 0 -6 + 5x = -11 Add '6' to each side of the equation. -6 + 6 + 5x = -11 + 6 Combine like terms: -6 + 6 = 0 0 + 5x = -11 + 6 5x = -11 + 6 Combine like terms: -11 + 6 = -5 5x = -5 Divide each side by '5'. x = -1 Simplifying x = -1
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