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Simplifying 7(2x + -3) + 3 = 3 + 7(3x + -5) Reorder the terms: 7(-3 + 2x) + 3 = 3 + 7(3x + -5) (-3 * 7 + 2x * 7) + 3 = 3 + 7(3x + -5) (-21 + 14x) + 3 = 3 + 7(3x + -5) Reorder the terms: -21 + 3 + 14x = 3 + 7(3x + -5) Combine like terms: -21 + 3 = -18 -18 + 14x = 3 + 7(3x + -5) Reorder the terms: -18 + 14x = 3 + 7(-5 + 3x) -18 + 14x = 3 + (-5 * 7 + 3x * 7) -18 + 14x = 3 + (-35 + 21x) Combine like terms: 3 + -35 = -32 -18 + 14x = -32 + 21x Solving -18 + 14x = -32 + 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. -18 + 14x + -21x = -32 + 21x + -21x Combine like terms: 14x + -21x = -7x -18 + -7x = -32 + 21x + -21x Combine like terms: 21x + -21x = 0 -18 + -7x = -32 + 0 -18 + -7x = -32 Add '18' to each side of the equation. -18 + 18 + -7x = -32 + 18 Combine like terms: -18 + 18 = 0 0 + -7x = -32 + 18 -7x = -32 + 18 Combine like terms: -32 + 18 = -14 -7x = -14 Divide each side by '-7'. x = 2 Simplifying x = 2
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