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Simplifying 5(x + 6) = -3(x + -2) + 16 Reorder the terms: 5(6 + x) = -3(x + -2) + 16 (6 * 5 + x * 5) = -3(x + -2) + 16 (30 + 5x) = -3(x + -2) + 16 Reorder the terms: 30 + 5x = -3(-2 + x) + 16 30 + 5x = (-2 * -3 + x * -3) + 16 30 + 5x = (6 + -3x) + 16 Reorder the terms: 30 + 5x = 6 + 16 + -3x Combine like terms: 6 + 16 = 22 30 + 5x = 22 + -3x Solving 30 + 5x = 22 + -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. 30 + 5x + 3x = 22 + -3x + 3x Combine like terms: 5x + 3x = 8x 30 + 8x = 22 + -3x + 3x Combine like terms: -3x + 3x = 0 30 + 8x = 22 + 0 30 + 8x = 22 Add '-30' to each side of the equation. 30 + -30 + 8x = 22 + -30 Combine like terms: 30 + -30 = 0 0 + 8x = 22 + -30 8x = 22 + -30 Combine like terms: 22 + -30 = -8 8x = -8 Divide each side by '8'. x = -1 Simplifying x = -1
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