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Simplifying 4x + -6 = 7(3x + -5) Reorder the terms: -6 + 4x = 7(3x + -5) Reorder the terms: -6 + 4x = 7(-5 + 3x) -6 + 4x = (-5 * 7 + 3x * 7) -6 + 4x = (-35 + 21x) Solving -6 + 4x = -35 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -6 + 4x + -21x = -35 + 21x + -21x Combine like terms: 4x + -21x = -17x -6 + -17x = -35 + 21x + -21x Combine like terms: 21x + -21x = 0 -6 + -17x = -35 + 0 -6 + -17x = -35 Add '6' to each side of the equation. -6 + 6 + -17x = -35 + 6 Combine like terms: -6 + 6 = 0 0 + -17x = -35 + 6 -17x = -35 + 6 Combine like terms: -35 + 6 = -29 -17x = -29 Divide each side by '-17'. x = 1.705882353 Simplifying x = 1.705882353
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