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Simplifying -1x + 4(x + -8) = 5x + 8(x + -5) Reorder the terms: -1x + 4(-8 + x) = 5x + 8(x + -5) -1x + (-8 * 4 + x * 4) = 5x + 8(x + -5) -1x + (-32 + 4x) = 5x + 8(x + -5) Reorder the terms: -32 + -1x + 4x = 5x + 8(x + -5) Combine like terms: -1x + 4x = 3x -32 + 3x = 5x + 8(x + -5) Reorder the terms: -32 + 3x = 5x + 8(-5 + x) -32 + 3x = 5x + (-5 * 8 + x * 8) -32 + 3x = 5x + (-40 + 8x) Reorder the terms: -32 + 3x = -40 + 5x + 8x Combine like terms: 5x + 8x = 13x -32 + 3x = -40 + 13x Solving -32 + 3x = -40 + 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 + 3x + -13x = -40 + 13x + -13x Combine like terms: 3x + -13x = -10x -32 + -10x = -40 + 13x + -13x Combine like terms: 13x + -13x = 0 -32 + -10x = -40 + 0 -32 + -10x = -40 Add '32' to each side of the equation. -32 + 32 + -10x = -40 + 32 Combine like terms: -32 + 32 = 0 0 + -10x = -40 + 32 -10x = -40 + 32 Combine like terms: -40 + 32 = -8 -10x = -8 Divide each side by '-10'. x = 0.8 Simplifying x = 0.8
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