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Simplifying -8x + 16 = -22 + -4(x + 10) Reorder the terms: 16 + -8x = -22 + -4(x + 10) Reorder the terms: 16 + -8x = -22 + -4(10 + x) 16 + -8x = -22 + (10 * -4 + x * -4) 16 + -8x = -22 + (-40 + -4x) Combine like terms: -22 + -40 = -62 16 + -8x = -62 + -4x Solving 16 + -8x = -62 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 16 + -8x + 4x = -62 + -4x + 4x Combine like terms: -8x + 4x = -4x 16 + -4x = -62 + -4x + 4x Combine like terms: -4x + 4x = 0 16 + -4x = -62 + 0 16 + -4x = -62 Add '-16' to each side of the equation. 16 + -16 + -4x = -62 + -16 Combine like terms: 16 + -16 = 0 0 + -4x = -62 + -16 -4x = -62 + -16 Combine like terms: -62 + -16 = -78 -4x = -78 Divide each side by '-4'. x = 19.5 Simplifying x = 19.5
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