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Simplifying 5(x + -2) + 1 = 7x Reorder the terms: 5(-2 + x) + 1 = 7x (-2 * 5 + x * 5) + 1 = 7x (-10 + 5x) + 1 = 7x Reorder the terms: -10 + 1 + 5x = 7x Combine like terms: -10 + 1 = -9 -9 + 5x = 7x Solving -9 + 5x = 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. -9 + 5x + -7x = 7x + -7x Combine like terms: 5x + -7x = -2x -9 + -2x = 7x + -7x Combine like terms: 7x + -7x = 0 -9 + -2x = 0 Add '9' to each side of the equation. -9 + 9 + -2x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -2x = 0 + 9 -2x = 0 + 9 Combine like terms: 0 + 9 = 9 -2x = 9 Divide each side by '-2'. x = -4.5 Simplifying x = -4.5
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