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Simplifying -10 + -1x = -8(5 + 2x) -10 + -1x = (5 * -8 + 2x * -8) -10 + -1x = (-40 + -16x) Solving -10 + -1x = -40 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. -10 + -1x + 16x = -40 + -16x + 16x Combine like terms: -1x + 16x = 15x -10 + 15x = -40 + -16x + 16x Combine like terms: -16x + 16x = 0 -10 + 15x = -40 + 0 -10 + 15x = -40 Add '10' to each side of the equation. -10 + 10 + 15x = -40 + 10 Combine like terms: -10 + 10 = 0 0 + 15x = -40 + 10 15x = -40 + 10 Combine like terms: -40 + 10 = -30 15x = -30 Divide each side by '15'. x = -2 Simplifying x = -2
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