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Simplifying 7x + -8(-1x + 7) = -16 + 7x Reorder the terms: 7x + -8(7 + -1x) = -16 + 7x 7x + (7 * -8 + -1x * -8) = -16 + 7x 7x + (-56 + 8x) = -16 + 7x Reorder the terms: -56 + 7x + 8x = -16 + 7x Combine like terms: 7x + 8x = 15x -56 + 15x = -16 + 7x Solving -56 + 15x = -16 + 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. -56 + 15x + -7x = -16 + 7x + -7x Combine like terms: 15x + -7x = 8x -56 + 8x = -16 + 7x + -7x Combine like terms: 7x + -7x = 0 -56 + 8x = -16 + 0 -56 + 8x = -16 Add '56' to each side of the equation. -56 + 56 + 8x = -16 + 56 Combine like terms: -56 + 56 = 0 0 + 8x = -16 + 56 8x = -16 + 56 Combine like terms: -16 + 56 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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