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Simplifying 7(2 + 2x) = 4(-1x + -10) (2 * 7 + 2x * 7) = 4(-1x + -10) (14 + 14x) = 4(-1x + -10) Reorder the terms: 14 + 14x = 4(-10 + -1x) 14 + 14x = (-10 * 4 + -1x * 4) 14 + 14x = (-40 + -4x) Solving 14 + 14x = -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 + 14x + 4x = -40 + -4x + 4x Combine like terms: 14x + 4x = 18x 14 + 18x = -40 + -4x + 4x Combine like terms: -4x + 4x = 0 14 + 18x = -40 + 0 14 + 18x = -40 Add '-14' to each side of the equation. 14 + -14 + 18x = -40 + -14 Combine like terms: 14 + -14 = 0 0 + 18x = -40 + -14 18x = -40 + -14 Combine like terms: -40 + -14 = -54 18x = -54 Divide each side by '18'. x = -3 Simplifying x = -3
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