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Simplifying 3x + 4x + -2 = 5(2x + 3) + 1 Reorder the terms: -2 + 3x + 4x = 5(2x + 3) + 1 Combine like terms: 3x + 4x = 7x -2 + 7x = 5(2x + 3) + 1 Reorder the terms: -2 + 7x = 5(3 + 2x) + 1 -2 + 7x = (3 * 5 + 2x * 5) + 1 -2 + 7x = (15 + 10x) + 1 Reorder the terms: -2 + 7x = 15 + 1 + 10x Combine like terms: 15 + 1 = 16 -2 + 7x = 16 + 10x Solving -2 + 7x = 16 + 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. -2 + 7x + -10x = 16 + 10x + -10x Combine like terms: 7x + -10x = -3x -2 + -3x = 16 + 10x + -10x Combine like terms: 10x + -10x = 0 -2 + -3x = 16 + 0 -2 + -3x = 16 Add '2' to each side of the equation. -2 + 2 + -3x = 16 + 2 Combine like terms: -2 + 2 = 0 0 + -3x = 16 + 2 -3x = 16 + 2 Combine like terms: 16 + 2 = 18 -3x = 18 Divide each side by '-3'. x = -6 Simplifying x = -6
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