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Simplifying 5(x + 1) + -4 = -2(x + -3) + 16 Reorder the terms: 5(1 + x) + -4 = -2(x + -3) + 16 (1 * 5 + x * 5) + -4 = -2(x + -3) + 16 (5 + 5x) + -4 = -2(x + -3) + 16 Reorder the terms: 5 + -4 + 5x = -2(x + -3) + 16 Combine like terms: 5 + -4 = 1 1 + 5x = -2(x + -3) + 16 Reorder the terms: 1 + 5x = -2(-3 + x) + 16 1 + 5x = (-3 * -2 + x * -2) + 16 1 + 5x = (6 + -2x) + 16 Reorder the terms: 1 + 5x = 6 + 16 + -2x Combine like terms: 6 + 16 = 22 1 + 5x = 22 + -2x Solving 1 + 5x = 22 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 1 + 5x + 2x = 22 + -2x + 2x Combine like terms: 5x + 2x = 7x 1 + 7x = 22 + -2x + 2x Combine like terms: -2x + 2x = 0 1 + 7x = 22 + 0 1 + 7x = 22 Add '-1' to each side of the equation. 1 + -1 + 7x = 22 + -1 Combine like terms: 1 + -1 = 0 0 + 7x = 22 + -1 7x = 22 + -1 Combine like terms: 22 + -1 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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