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Simplifying 2(7x + -29) = 2 + -3(x + 7) Reorder the terms: 2(-29 + 7x) = 2 + -3(x + 7) (-29 * 2 + 7x * 2) = 2 + -3(x + 7) (-58 + 14x) = 2 + -3(x + 7) Reorder the terms: -58 + 14x = 2 + -3(7 + x) -58 + 14x = 2 + (7 * -3 + x * -3) -58 + 14x = 2 + (-21 + -3x) Combine like terms: 2 + -21 = -19 -58 + 14x = -19 + -3x Solving -58 + 14x = -19 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -58 + 14x + 3x = -19 + -3x + 3x Combine like terms: 14x + 3x = 17x -58 + 17x = -19 + -3x + 3x Combine like terms: -3x + 3x = 0 -58 + 17x = -19 + 0 -58 + 17x = -19 Add '58' to each side of the equation. -58 + 58 + 17x = -19 + 58 Combine like terms: -58 + 58 = 0 0 + 17x = -19 + 58 17x = -19 + 58 Combine like terms: -19 + 58 = 39 17x = 39 Divide each side by '17'. x = 2.294117647 Simplifying x = 2.294117647
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