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Simplifying 5(2x + -3) + 7 = -7x + 1 Reorder the terms: 5(-3 + 2x) + 7 = -7x + 1 (-3 * 5 + 2x * 5) + 7 = -7x + 1 (-15 + 10x) + 7 = -7x + 1 Reorder the terms: -15 + 7 + 10x = -7x + 1 Combine like terms: -15 + 7 = -8 -8 + 10x = -7x + 1 Reorder the terms: -8 + 10x = 1 + -7x Solving -8 + 10x = 1 + -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. -8 + 10x + 7x = 1 + -7x + 7x Combine like terms: 10x + 7x = 17x -8 + 17x = 1 + -7x + 7x Combine like terms: -7x + 7x = 0 -8 + 17x = 1 + 0 -8 + 17x = 1 Add '8' to each side of the equation. -8 + 8 + 17x = 1 + 8 Combine like terms: -8 + 8 = 0 0 + 17x = 1 + 8 17x = 1 + 8 Combine like terms: 1 + 8 = 9 17x = 9 Divide each side by '17'. x = 0.5294117647 Simplifying x = 0.5294117647
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