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Simplifying 7(x + 4) = 16(x + 1) Reorder the terms: 7(4 + x) = 16(x + 1) (4 * 7 + x * 7) = 16(x + 1) (28 + 7x) = 16(x + 1) Reorder the terms: 28 + 7x = 16(1 + x) 28 + 7x = (1 * 16 + x * 16) 28 + 7x = (16 + 16x) Solving 28 + 7x = 16 + 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. 28 + 7x + -16x = 16 + 16x + -16x Combine like terms: 7x + -16x = -9x 28 + -9x = 16 + 16x + -16x Combine like terms: 16x + -16x = 0 28 + -9x = 16 + 0 28 + -9x = 16 Add '-28' to each side of the equation. 28 + -28 + -9x = 16 + -28 Combine like terms: 28 + -28 = 0 0 + -9x = 16 + -28 -9x = 16 + -28 Combine like terms: 16 + -28 = -12 -9x = -12 Divide each side by '-9'. x = 1.333333333 Simplifying x = 1.333333333
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