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Simplifying 8(2x + -5) + -1x = -7(x + 3) Reorder the terms: 8(-5 + 2x) + -1x = -7(x + 3) (-5 * 8 + 2x * 8) + -1x = -7(x + 3) (-40 + 16x) + -1x = -7(x + 3) Combine like terms: 16x + -1x = 15x -40 + 15x = -7(x + 3) Reorder the terms: -40 + 15x = -7(3 + x) -40 + 15x = (3 * -7 + x * -7) -40 + 15x = (-21 + -7x) Solving -40 + 15x = -21 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -40 + 15x + 7x = -21 + -7x + 7x Combine like terms: 15x + 7x = 22x -40 + 22x = -21 + -7x + 7x Combine like terms: -7x + 7x = 0 -40 + 22x = -21 + 0 -40 + 22x = -21 Add '40' to each side of the equation. -40 + 40 + 22x = -21 + 40 Combine like terms: -40 + 40 = 0 0 + 22x = -21 + 40 22x = -21 + 40 Combine like terms: -21 + 40 = 19 22x = 19 Divide each side by '22'. x = 0.8636363636 Simplifying x = 0.8636363636
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