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Simplifying 5(-3x + 4) + 8(x + 3) = 16 Reorder the terms: 5(4 + -3x) + 8(x + 3) = 16 (4 * 5 + -3x * 5) + 8(x + 3) = 16 (20 + -15x) + 8(x + 3) = 16 Reorder the terms: 20 + -15x + 8(3 + x) = 16 20 + -15x + (3 * 8 + x * 8) = 16 20 + -15x + (24 + 8x) = 16 Reorder the terms: 20 + 24 + -15x + 8x = 16 Combine like terms: 20 + 24 = 44 44 + -15x + 8x = 16 Combine like terms: -15x + 8x = -7x 44 + -7x = 16 Solving 44 + -7x = 16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + -7x = 16 + -44 Combine like terms: 44 + -44 = 0 0 + -7x = 16 + -44 -7x = 16 + -44 Combine like terms: 16 + -44 = -28 -7x = -28 Divide each side by '-7'. x = 4 Simplifying x = 4
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