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Simplifying 78 + -1(7x + 12) = 7(x + 3) + x Reorder the terms: 78 + -1(12 + 7x) = 7(x + 3) + x 78 + (12 * -1 + 7x * -1) = 7(x + 3) + x 78 + (-12 + -7x) = 7(x + 3) + x Combine like terms: 78 + -12 = 66 66 + -7x = 7(x + 3) + x Reorder the terms: 66 + -7x = 7(3 + x) + x 66 + -7x = (3 * 7 + x * 7) + x 66 + -7x = (21 + 7x) + x Combine like terms: 7x + x = 8x 66 + -7x = 21 + 8x Solving 66 + -7x = 21 + 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. 66 + -7x + -8x = 21 + 8x + -8x Combine like terms: -7x + -8x = -15x 66 + -15x = 21 + 8x + -8x Combine like terms: 8x + -8x = 0 66 + -15x = 21 + 0 66 + -15x = 21 Add '-66' to each side of the equation. 66 + -66 + -15x = 21 + -66 Combine like terms: 66 + -66 = 0 0 + -15x = 21 + -66 -15x = 21 + -66 Combine like terms: 21 + -66 = -45 -15x = -45 Divide each side by '-15'. x = 3 Simplifying x = 3
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