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Simplifying 4(2x + 3) + 5(x + -1) = 10x + 16 Reorder the terms: 4(3 + 2x) + 5(x + -1) = 10x + 16 (3 * 4 + 2x * 4) + 5(x + -1) = 10x + 16 (12 + 8x) + 5(x + -1) = 10x + 16 Reorder the terms: 12 + 8x + 5(-1 + x) = 10x + 16 12 + 8x + (-1 * 5 + x * 5) = 10x + 16 12 + 8x + (-5 + 5x) = 10x + 16 Reorder the terms: 12 + -5 + 8x + 5x = 10x + 16 Combine like terms: 12 + -5 = 7 7 + 8x + 5x = 10x + 16 Combine like terms: 8x + 5x = 13x 7 + 13x = 10x + 16 Reorder the terms: 7 + 13x = 16 + 10x Solving 7 + 13x = 16 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 7 + 13x + -10x = 16 + 10x + -10x Combine like terms: 13x + -10x = 3x 7 + 3x = 16 + 10x + -10x Combine like terms: 10x + -10x = 0 7 + 3x = 16 + 0 7 + 3x = 16 Add '-7' to each side of the equation. 7 + -7 + 3x = 16 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = 16 + -7 3x = 16 + -7 Combine like terms: 16 + -7 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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