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Simplifying 7(x + -8) + 8 = 7x + -8(8 + -1x) Reorder the terms: 7(-8 + x) + 8 = 7x + -8(8 + -1x) (-8 * 7 + x * 7) + 8 = 7x + -8(8 + -1x) (-56 + 7x) + 8 = 7x + -8(8 + -1x) Reorder the terms: -56 + 8 + 7x = 7x + -8(8 + -1x) Combine like terms: -56 + 8 = -48 -48 + 7x = 7x + -8(8 + -1x) -48 + 7x = 7x + (8 * -8 + -1x * -8) -48 + 7x = 7x + (-64 + 8x) Reorder the terms: -48 + 7x = -64 + 7x + 8x Combine like terms: 7x + 8x = 15x -48 + 7x = -64 + 15x Solving -48 + 7x = -64 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -48 + 7x + -15x = -64 + 15x + -15x Combine like terms: 7x + -15x = -8x -48 + -8x = -64 + 15x + -15x Combine like terms: 15x + -15x = 0 -48 + -8x = -64 + 0 -48 + -8x = -64 Add '48' to each side of the equation. -48 + 48 + -8x = -64 + 48 Combine like terms: -48 + 48 = 0 0 + -8x = -64 + 48 -8x = -64 + 48 Combine like terms: -64 + 48 = -16 -8x = -16 Divide each side by '-8'. x = 2 Simplifying x = 2
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