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Simplifying 74 + -1(7x + 16) = 7(x + 4) + x Reorder the terms: 74 + -1(16 + 7x) = 7(x + 4) + x 74 + (16 * -1 + 7x * -1) = 7(x + 4) + x 74 + (-16 + -7x) = 7(x + 4) + x Combine like terms: 74 + -16 = 58 58 + -7x = 7(x + 4) + x Reorder the terms: 58 + -7x = 7(4 + x) + x 58 + -7x = (4 * 7 + x * 7) + x 58 + -7x = (28 + 7x) + x Combine like terms: 7x + x = 8x 58 + -7x = 28 + 8x Solving 58 + -7x = 28 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 58 + -7x + -8x = 28 + 8x + -8x Combine like terms: -7x + -8x = -15x 58 + -15x = 28 + 8x + -8x Combine like terms: 8x + -8x = 0 58 + -15x = 28 + 0 58 + -15x = 28 Add '-58' to each side of the equation. 58 + -58 + -15x = 28 + -58 Combine like terms: 58 + -58 = 0 0 + -15x = 28 + -58 -15x = 28 + -58 Combine like terms: 28 + -58 = -30 -15x = -30 Divide each side by '-15'. x = 2 Simplifying x = 2
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