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Simplifying 5(2x + 1) + -3(x + -4) = 3x + 1 Reorder the terms: 5(1 + 2x) + -3(x + -4) = 3x + 1 (1 * 5 + 2x * 5) + -3(x + -4) = 3x + 1 (5 + 10x) + -3(x + -4) = 3x + 1 Reorder the terms: 5 + 10x + -3(-4 + x) = 3x + 1 5 + 10x + (-4 * -3 + x * -3) = 3x + 1 5 + 10x + (12 + -3x) = 3x + 1 Reorder the terms: 5 + 12 + 10x + -3x = 3x + 1 Combine like terms: 5 + 12 = 17 17 + 10x + -3x = 3x + 1 Combine like terms: 10x + -3x = 7x 17 + 7x = 3x + 1 Reorder the terms: 17 + 7x = 1 + 3x Solving 17 + 7x = 1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 17 + 7x + -3x = 1 + 3x + -3x Combine like terms: 7x + -3x = 4x 17 + 4x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 17 + 4x = 1 + 0 17 + 4x = 1 Add '-17' to each side of the equation. 17 + -17 + 4x = 1 + -17 Combine like terms: 17 + -17 = 0 0 + 4x = 1 + -17 4x = 1 + -17 Combine like terms: 1 + -17 = -16 4x = -16 Divide each side by '4'. x = -4 Simplifying x = -4
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