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Simplifying 7(2x + 1.10) + -2.70 + -12.00 = 14 + -7x Reorder the terms: 7(1.10 + 2x) + -2.70 + -12.00 = 14 + -7x (1.10 * 7 + 2x * 7) + -2.70 + -12.00 = 14 + -7x (7.7 + 14x) + -2.70 + -12.00 = 14 + -7x Reorder the terms: 7.7 + -2.70 + -12.00 + 14x = 14 + -7x Combine like terms: 7.7 + -2.70 = 5 5 + -12.00 + 14x = 14 + -7x Combine like terms: 5 + -12.00 = -7 -7 + 14x = 14 + -7x Solving -7 + 14x = 14 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -7 + 14x + 7x = 14 + -7x + 7x Combine like terms: 14x + 7x = 21x -7 + 21x = 14 + -7x + 7x Combine like terms: -7x + 7x = 0 -7 + 21x = 14 + 0 -7 + 21x = 14 Add '7' to each side of the equation. -7 + 7 + 21x = 14 + 7 Combine like terms: -7 + 7 = 0 0 + 21x = 14 + 7 21x = 14 + 7 Combine like terms: 14 + 7 = 21 21x = 21 Divide each side by '21'. x = 1 Simplifying x = 1
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