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Simplifying 7(2x + 1) + -4(5 + -1x) = 7 Reorder the terms: 7(1 + 2x) + -4(5 + -1x) = 7 (1 * 7 + 2x * 7) + -4(5 + -1x) = 7 (7 + 14x) + -4(5 + -1x) = 7 7 + 14x + (5 * -4 + -1x * -4) = 7 7 + 14x + (-20 + 4x) = 7 Reorder the terms: 7 + -20 + 14x + 4x = 7 Combine like terms: 7 + -20 = -13 -13 + 14x + 4x = 7 Combine like terms: 14x + 4x = 18x -13 + 18x = 7 Solving -13 + 18x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 18x = 7 + 13 Combine like terms: -13 + 13 = 0 0 + 18x = 7 + 13 18x = 7 + 13 Combine like terms: 7 + 13 = 20 18x = 20 Divide each side by '18'. x = 1.111111111 Simplifying x = 1.111111111
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