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Simplifying 7(x + 2) = 4(x + -10) Reorder the terms: 7(2 + x) = 4(x + -10) (2 * 7 + x * 7) = 4(x + -10) (14 + 7x) = 4(x + -10) Reorder the terms: 14 + 7x = 4(-10 + x) 14 + 7x = (-10 * 4 + x * 4) 14 + 7x = (-40 + 4x) Solving 14 + 7x = -40 + 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. 14 + 7x + -4x = -40 + 4x + -4x Combine like terms: 7x + -4x = 3x 14 + 3x = -40 + 4x + -4x Combine like terms: 4x + -4x = 0 14 + 3x = -40 + 0 14 + 3x = -40 Add '-14' to each side of the equation. 14 + -14 + 3x = -40 + -14 Combine like terms: 14 + -14 = 0 0 + 3x = -40 + -14 3x = -40 + -14 Combine like terms: -40 + -14 = -54 3x = -54 Divide each side by '3'. x = -18 Simplifying x = -18
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