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Simplifying 8(2x + -5) + 3x = 9x + -1(x + 8) Reorder the terms: 8(-5 + 2x) + 3x = 9x + -1(x + 8) (-5 * 8 + 2x * 8) + 3x = 9x + -1(x + 8) (-40 + 16x) + 3x = 9x + -1(x + 8) Combine like terms: 16x + 3x = 19x -40 + 19x = 9x + -1(x + 8) Reorder the terms: -40 + 19x = 9x + -1(8 + x) -40 + 19x = 9x + (8 * -1 + x * -1) -40 + 19x = 9x + (-8 + -1x) Reorder the terms: -40 + 19x = -8 + 9x + -1x Combine like terms: 9x + -1x = 8x -40 + 19x = -8 + 8x Solving -40 + 19x = -8 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -40 + 19x + -8x = -8 + 8x + -8x Combine like terms: 19x + -8x = 11x -40 + 11x = -8 + 8x + -8x Combine like terms: 8x + -8x = 0 -40 + 11x = -8 + 0 -40 + 11x = -8 Add '40' to each side of the equation. -40 + 40 + 11x = -8 + 40 Combine like terms: -40 + 40 = 0 0 + 11x = -8 + 40 11x = -8 + 40 Combine like terms: -8 + 40 = 32 11x = 32 Divide each side by '11'. x = 2.909090909 Simplifying x = 2.909090909
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