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Simplifying 5(3x + 2) + -4(2x + -3) = 4(x + 3) + 1 Reorder the terms: 5(2 + 3x) + -4(2x + -3) = 4(x + 3) + 1 (2 * 5 + 3x * 5) + -4(2x + -3) = 4(x + 3) + 1 (10 + 15x) + -4(2x + -3) = 4(x + 3) + 1 Reorder the terms: 10 + 15x + -4(-3 + 2x) = 4(x + 3) + 1 10 + 15x + (-3 * -4 + 2x * -4) = 4(x + 3) + 1 10 + 15x + (12 + -8x) = 4(x + 3) + 1 Reorder the terms: 10 + 12 + 15x + -8x = 4(x + 3) + 1 Combine like terms: 10 + 12 = 22 22 + 15x + -8x = 4(x + 3) + 1 Combine like terms: 15x + -8x = 7x 22 + 7x = 4(x + 3) + 1 Reorder the terms: 22 + 7x = 4(3 + x) + 1 22 + 7x = (3 * 4 + x * 4) + 1 22 + 7x = (12 + 4x) + 1 Reorder the terms: 22 + 7x = 12 + 1 + 4x Combine like terms: 12 + 1 = 13 22 + 7x = 13 + 4x Solving 22 + 7x = 13 + 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. 22 + 7x + -4x = 13 + 4x + -4x Combine like terms: 7x + -4x = 3x 22 + 3x = 13 + 4x + -4x Combine like terms: 4x + -4x = 0 22 + 3x = 13 + 0 22 + 3x = 13 Add '-22' to each side of the equation. 22 + -22 + 3x = 13 + -22 Combine like terms: 22 + -22 = 0 0 + 3x = 13 + -22 3x = 13 + -22 Combine like terms: 13 + -22 = -9 3x = -9 Divide each side by '3'. x = -3 Simplifying x = -3
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