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Simplifying 4x + -5(2x + 7) + -1 = 3x + 7 Reorder the terms: 4x + -5(7 + 2x) + -1 = 3x + 7 4x + (7 * -5 + 2x * -5) + -1 = 3x + 7 4x + (-35 + -10x) + -1 = 3x + 7 Reorder the terms: -35 + -1 + 4x + -10x = 3x + 7 Combine like terms: -35 + -1 = -36 -36 + 4x + -10x = 3x + 7 Combine like terms: 4x + -10x = -6x -36 + -6x = 3x + 7 Reorder the terms: -36 + -6x = 7 + 3x Solving -36 + -6x = 7 + 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. -36 + -6x + -3x = 7 + 3x + -3x Combine like terms: -6x + -3x = -9x -36 + -9x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 -36 + -9x = 7 + 0 -36 + -9x = 7 Add '36' to each side of the equation. -36 + 36 + -9x = 7 + 36 Combine like terms: -36 + 36 = 0 0 + -9x = 7 + 36 -9x = 7 + 36 Combine like terms: 7 + 36 = 43 -9x = 43 Divide each side by '-9'. x = -4.777777778 Simplifying x = -4.777777778
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