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Simplifying 8(x + -5) + -3x = 4(x + 10) + 9x Reorder the terms: 8(-5 + x) + -3x = 4(x + 10) + 9x (-5 * 8 + x * 8) + -3x = 4(x + 10) + 9x (-40 + 8x) + -3x = 4(x + 10) + 9x Combine like terms: 8x + -3x = 5x -40 + 5x = 4(x + 10) + 9x Reorder the terms: -40 + 5x = 4(10 + x) + 9x -40 + 5x = (10 * 4 + x * 4) + 9x -40 + 5x = (40 + 4x) + 9x Combine like terms: 4x + 9x = 13x -40 + 5x = 40 + 13x Solving -40 + 5x = 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. -40 + 5x + -13x = 40 + 13x + -13x Combine like terms: 5x + -13x = -8x -40 + -8x = 40 + 13x + -13x Combine like terms: 13x + -13x = 0 -40 + -8x = 40 + 0 -40 + -8x = 40 Add '40' to each side of the equation. -40 + 40 + -8x = 40 + 40 Combine like terms: -40 + 40 = 0 0 + -8x = 40 + 40 -8x = 40 + 40 Combine like terms: 40 + 40 = 80 -8x = 80 Divide each side by '-8'. x = -10 Simplifying x = -10
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