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Simplifying 5(x + -8) + 8 = 5x + -8(8 + -1x) Reorder the terms: 5(-8 + x) + 8 = 5x + -8(8 + -1x) (-8 * 5 + x * 5) + 8 = 5x + -8(8 + -1x) (-40 + 5x) + 8 = 5x + -8(8 + -1x) Reorder the terms: -40 + 8 + 5x = 5x + -8(8 + -1x) Combine like terms: -40 + 8 = -32 -32 + 5x = 5x + -8(8 + -1x) -32 + 5x = 5x + (8 * -8 + -1x * -8) -32 + 5x = 5x + (-64 + 8x) Reorder the terms: -32 + 5x = -64 + 5x + 8x Combine like terms: 5x + 8x = 13x -32 + 5x = -64 + 13x Solving -32 + 5x = -64 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -32 + 5x + -13x = -64 + 13x + -13x Combine like terms: 5x + -13x = -8x -32 + -8x = -64 + 13x + -13x Combine like terms: 13x + -13x = 0 -32 + -8x = -64 + 0 -32 + -8x = -64 Add '32' to each side of the equation. -32 + 32 + -8x = -64 + 32 Combine like terms: -32 + 32 = 0 0 + -8x = -64 + 32 -8x = -64 + 32 Combine like terms: -64 + 32 = -32 -8x = -32 Divide each side by '-8'. x = 4 Simplifying x = 4
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