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Simplifying 8(x + 6) + 4 = -7(x + -1) Reorder the terms: 8(6 + x) + 4 = -7(x + -1) (6 * 8 + x * 8) + 4 = -7(x + -1) (48 + 8x) + 4 = -7(x + -1) Reorder the terms: 48 + 4 + 8x = -7(x + -1) Combine like terms: 48 + 4 = 52 52 + 8x = -7(x + -1) Reorder the terms: 52 + 8x = -7(-1 + x) 52 + 8x = (-1 * -7 + x * -7) 52 + 8x = (7 + -7x) Solving 52 + 8x = 7 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 52 + 8x + 7x = 7 + -7x + 7x Combine like terms: 8x + 7x = 15x 52 + 15x = 7 + -7x + 7x Combine like terms: -7x + 7x = 0 52 + 15x = 7 + 0 52 + 15x = 7 Add '-52' to each side of the equation. 52 + -52 + 15x = 7 + -52 Combine like terms: 52 + -52 = 0 0 + 15x = 7 + -52 15x = 7 + -52 Combine like terms: 7 + -52 = -45 15x = -45 Divide each side by '15'. x = -3 Simplifying x = -3
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