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Simplifying 4(x + 2) + -5 = -3x + 31 Reorder the terms: 4(2 + x) + -5 = -3x + 31 (2 * 4 + x * 4) + -5 = -3x + 31 (8 + 4x) + -5 = -3x + 31 Reorder the terms: 8 + -5 + 4x = -3x + 31 Combine like terms: 8 + -5 = 3 3 + 4x = -3x + 31 Reorder the terms: 3 + 4x = 31 + -3x Solving 3 + 4x = 31 + -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. 3 + 4x + 3x = 31 + -3x + 3x Combine like terms: 4x + 3x = 7x 3 + 7x = 31 + -3x + 3x Combine like terms: -3x + 3x = 0 3 + 7x = 31 + 0 3 + 7x = 31 Add '-3' to each side of the equation. 3 + -3 + 7x = 31 + -3 Combine like terms: 3 + -3 = 0 0 + 7x = 31 + -3 7x = 31 + -3 Combine like terms: 31 + -3 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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