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Simplifying 4(x + -10) = 2(x + -2) Reorder the terms: 4(-10 + x) = 2(x + -2) (-10 * 4 + x * 4) = 2(x + -2) (-40 + 4x) = 2(x + -2) Reorder the terms: -40 + 4x = 2(-2 + x) -40 + 4x = (-2 * 2 + x * 2) -40 + 4x = (-4 + 2x) Solving -40 + 4x = -4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -40 + 4x + -2x = -4 + 2x + -2x Combine like terms: 4x + -2x = 2x -40 + 2x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 -40 + 2x = -4 + 0 -40 + 2x = -4 Add '40' to each side of the equation. -40 + 40 + 2x = -4 + 40 Combine like terms: -40 + 40 = 0 0 + 2x = -4 + 40 2x = -4 + 40 Combine like terms: -4 + 40 = 36 2x = 36 Divide each side by '2'. x = 18 Simplifying x = 18
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