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Simplifying 3x + -7 + 5 = -1(4x + 7) + 17x Reorder the terms: -7 + 5 + 3x = -1(4x + 7) + 17x Combine like terms: -7 + 5 = -2 -2 + 3x = -1(4x + 7) + 17x Reorder the terms: -2 + 3x = -1(7 + 4x) + 17x -2 + 3x = (7 * -1 + 4x * -1) + 17x -2 + 3x = (-7 + -4x) + 17x Combine like terms: -4x + 17x = 13x -2 + 3x = -7 + 13x Solving -2 + 3x = -7 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -2 + 3x + -13x = -7 + 13x + -13x Combine like terms: 3x + -13x = -10x -2 + -10x = -7 + 13x + -13x Combine like terms: 13x + -13x = 0 -2 + -10x = -7 + 0 -2 + -10x = -7 Add '2' to each side of the equation. -2 + 2 + -10x = -7 + 2 Combine like terms: -2 + 2 = 0 0 + -10x = -7 + 2 -10x = -7 + 2 Combine like terms: -7 + 2 = -5 -10x = -5 Divide each side by '-10'. x = 0.5 Simplifying x = 0.5
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