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Simplifying -4x + 10 = 7(3x + -5) Reorder the terms: 10 + -4x = 7(3x + -5) Reorder the terms: 10 + -4x = 7(-5 + 3x) 10 + -4x = (-5 * 7 + 3x * 7) 10 + -4x = (-35 + 21x) Solving 10 + -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. 10 + -4x + -21x = -35 + 21x + -21x Combine like terms: -4x + -21x = -25x 10 + -25x = -35 + 21x + -21x Combine like terms: 21x + -21x = 0 10 + -25x = -35 + 0 10 + -25x = -35 Add '-10' to each side of the equation. 10 + -10 + -25x = -35 + -10 Combine like terms: 10 + -10 = 0 0 + -25x = -35 + -10 -25x = -35 + -10 Combine like terms: -35 + -10 = -45 -25x = -45 Divide each side by '-25'. x = 1.8 Simplifying x = 1.8
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