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Simplifying 18(x + 1) + 7 = 3 + 16(x + 3) + 4 Reorder the terms: 18(1 + x) + 7 = 3 + 16(x + 3) + 4 (1 * 18 + x * 18) + 7 = 3 + 16(x + 3) + 4 (18 + 18x) + 7 = 3 + 16(x + 3) + 4 Reorder the terms: 18 + 7 + 18x = 3 + 16(x + 3) + 4 Combine like terms: 18 + 7 = 25 25 + 18x = 3 + 16(x + 3) + 4 Reorder the terms: 25 + 18x = 3 + 16(3 + x) + 4 25 + 18x = 3 + (3 * 16 + x * 16) + 4 25 + 18x = 3 + (48 + 16x) + 4 Reorder the terms: 25 + 18x = 3 + 48 + 4 + 16x Combine like terms: 3 + 48 = 51 25 + 18x = 51 + 4 + 16x Combine like terms: 51 + 4 = 55 25 + 18x = 55 + 16x Solving 25 + 18x = 55 + 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. 25 + 18x + -16x = 55 + 16x + -16x Combine like terms: 18x + -16x = 2x 25 + 2x = 55 + 16x + -16x Combine like terms: 16x + -16x = 0 25 + 2x = 55 + 0 25 + 2x = 55 Add '-25' to each side of the equation. 25 + -25 + 2x = 55 + -25 Combine like terms: 25 + -25 = 0 0 + 2x = 55 + -25 2x = 55 + -25 Combine like terms: 55 + -25 = 30 2x = 30 Divide each side by '2'. x = 15 Simplifying x = 15
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