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Simplifying 5x + 4(2x + -3) = 2x + 11 Reorder the terms: 5x + 4(-3 + 2x) = 2x + 11 5x + (-3 * 4 + 2x * 4) = 2x + 11 5x + (-12 + 8x) = 2x + 11 Reorder the terms: -12 + 5x + 8x = 2x + 11 Combine like terms: 5x + 8x = 13x -12 + 13x = 2x + 11 Reorder the terms: -12 + 13x = 11 + 2x Solving -12 + 13x = 11 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -12 + 13x + -2x = 11 + 2x + -2x Combine like terms: 13x + -2x = 11x -12 + 11x = 11 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 11x = 11 + 0 -12 + 11x = 11 Add '12' to each side of the equation. -12 + 12 + 11x = 11 + 12 Combine like terms: -12 + 12 = 0 0 + 11x = 11 + 12 11x = 11 + 12 Combine like terms: 11 + 12 = 23 11x = 23 Divide each side by '11'. x = 2.090909091 Simplifying x = 2.090909091
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