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Simplifying 4(2x + -3) + 1 = 5(x + 2) Reorder the terms: 4(-3 + 2x) + 1 = 5(x + 2) (-3 * 4 + 2x * 4) + 1 = 5(x + 2) (-12 + 8x) + 1 = 5(x + 2) Reorder the terms: -12 + 1 + 8x = 5(x + 2) Combine like terms: -12 + 1 = -11 -11 + 8x = 5(x + 2) Reorder the terms: -11 + 8x = 5(2 + x) -11 + 8x = (2 * 5 + x * 5) -11 + 8x = (10 + 5x) Solving -11 + 8x = 10 + 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. -11 + 8x + -5x = 10 + 5x + -5x Combine like terms: 8x + -5x = 3x -11 + 3x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 -11 + 3x = 10 + 0 -11 + 3x = 10 Add '11' to each side of the equation. -11 + 11 + 3x = 10 + 11 Combine like terms: -11 + 11 = 0 0 + 3x = 10 + 11 3x = 10 + 11 Combine like terms: 10 + 11 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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