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Simplifying 4x + -40 = 7(-2x + 2) Reorder the terms: -40 + 4x = 7(-2x + 2) Reorder the terms: -40 + 4x = 7(2 + -2x) -40 + 4x = (2 * 7 + -2x * 7) -40 + 4x = (14 + -14x) Solving -40 + 4x = 14 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -40 + 4x + 14x = 14 + -14x + 14x Combine like terms: 4x + 14x = 18x -40 + 18x = 14 + -14x + 14x Combine like terms: -14x + 14x = 0 -40 + 18x = 14 + 0 -40 + 18x = 14 Add '40' to each side of the equation. -40 + 40 + 18x = 14 + 40 Combine like terms: -40 + 40 = 0 0 + 18x = 14 + 40 18x = 14 + 40 Combine like terms: 14 + 40 = 54 18x = 54 Divide each side by '18'. x = 3 Simplifying x = 3
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