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Simplifying 4(x + -10) = 8 + -6x + -12 + 16 + 6x + 14 Reorder the terms: 4(-10 + x) = 8 + -6x + -12 + 16 + 6x + 14 (-10 * 4 + x * 4) = 8 + -6x + -12 + 16 + 6x + 14 (-40 + 4x) = 8 + -6x + -12 + 16 + 6x + 14 Reorder the terms: -40 + 4x = 8 + -12 + 16 + 14 + -6x + 6x Combine like terms: 8 + -12 = -4 -40 + 4x = -4 + 16 + 14 + -6x + 6x Combine like terms: -4 + 16 = 12 -40 + 4x = 12 + 14 + -6x + 6x Combine like terms: 12 + 14 = 26 -40 + 4x = 26 + -6x + 6x Combine like terms: -6x + 6x = 0 -40 + 4x = 26 + 0 -40 + 4x = 26 Solving -40 + 4x = 26 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 4x = 26 + 40 Combine like terms: -40 + 40 = 0 0 + 4x = 26 + 40 4x = 26 + 40 Combine like terms: 26 + 40 = 66 4x = 66 Divide each side by '4'. x = 16.5 Simplifying x = 16.5
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