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Simplifying 8(x + -11) + -10(3x + 4) = 5x + 5x Reorder the terms: 8(-11 + x) + -10(3x + 4) = 5x + 5x (-11 * 8 + x * 8) + -10(3x + 4) = 5x + 5x (-88 + 8x) + -10(3x + 4) = 5x + 5x Reorder the terms: -88 + 8x + -10(4 + 3x) = 5x + 5x -88 + 8x + (4 * -10 + 3x * -10) = 5x + 5x -88 + 8x + (-40 + -30x) = 5x + 5x Reorder the terms: -88 + -40 + 8x + -30x = 5x + 5x Combine like terms: -88 + -40 = -128 -128 + 8x + -30x = 5x + 5x Combine like terms: 8x + -30x = -22x -128 + -22x = 5x + 5x Combine like terms: 5x + 5x = 10x -128 + -22x = 10x Solving -128 + -22x = 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -128 + -22x + -10x = 10x + -10x Combine like terms: -22x + -10x = -32x -128 + -32x = 10x + -10x Combine like terms: 10x + -10x = 0 -128 + -32x = 0 Add '128' to each side of the equation. -128 + 128 + -32x = 0 + 128 Combine like terms: -128 + 128 = 0 0 + -32x = 0 + 128 -32x = 0 + 128 Combine like terms: 0 + 128 = 128 -32x = 128 Divide each side by '-32'. x = -4 Simplifying x = -4
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