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Simplifying 3(x + 8) + -7(2 + -2x) = 16(x + 1) + 3 Reorder the terms: 3(8 + x) + -7(2 + -2x) = 16(x + 1) + 3 (8 * 3 + x * 3) + -7(2 + -2x) = 16(x + 1) + 3 (24 + 3x) + -7(2 + -2x) = 16(x + 1) + 3 24 + 3x + (2 * -7 + -2x * -7) = 16(x + 1) + 3 24 + 3x + (-14 + 14x) = 16(x + 1) + 3 Reorder the terms: 24 + -14 + 3x + 14x = 16(x + 1) + 3 Combine like terms: 24 + -14 = 10 10 + 3x + 14x = 16(x + 1) + 3 Combine like terms: 3x + 14x = 17x 10 + 17x = 16(x + 1) + 3 Reorder the terms: 10 + 17x = 16(1 + x) + 3 10 + 17x = (1 * 16 + x * 16) + 3 10 + 17x = (16 + 16x) + 3 Reorder the terms: 10 + 17x = 16 + 3 + 16x Combine like terms: 16 + 3 = 19 10 + 17x = 19 + 16x Solving 10 + 17x = 19 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 10 + 17x + -16x = 19 + 16x + -16x Combine like terms: 17x + -16x = 1x 10 + 1x = 19 + 16x + -16x Combine like terms: 16x + -16x = 0 10 + 1x = 19 + 0 10 + 1x = 19 Add '-10' to each side of the equation. 10 + -10 + 1x = 19 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 19 + -10 1x = 19 + -10 Combine like terms: 19 + -10 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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