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Simplifying 8(x + 4) + 2(x + 4) = 7x + -7 Reorder the terms: 8(4 + x) + 2(x + 4) = 7x + -7 (4 * 8 + x * 8) + 2(x + 4) = 7x + -7 (32 + 8x) + 2(x + 4) = 7x + -7 Reorder the terms: 32 + 8x + 2(4 + x) = 7x + -7 32 + 8x + (4 * 2 + x * 2) = 7x + -7 32 + 8x + (8 + 2x) = 7x + -7 Reorder the terms: 32 + 8 + 8x + 2x = 7x + -7 Combine like terms: 32 + 8 = 40 40 + 8x + 2x = 7x + -7 Combine like terms: 8x + 2x = 10x 40 + 10x = 7x + -7 Reorder the terms: 40 + 10x = -7 + 7x Solving 40 + 10x = -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. 40 + 10x + -7x = -7 + 7x + -7x Combine like terms: 10x + -7x = 3x 40 + 3x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 40 + 3x = -7 + 0 40 + 3x = -7 Add '-40' to each side of the equation. 40 + -40 + 3x = -7 + -40 Combine like terms: 40 + -40 = 0 0 + 3x = -7 + -40 3x = -7 + -40 Combine like terms: -7 + -40 = -47 3x = -47 Divide each side by '3'. x = -15.66666667 Simplifying x = -15.66666667
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