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Simplifying 3(x + 2) + -3 = 7(x + -3) Reorder the terms: 3(2 + x) + -3 = 7(x + -3) (2 * 3 + x * 3) + -3 = 7(x + -3) (6 + 3x) + -3 = 7(x + -3) Reorder the terms: 6 + -3 + 3x = 7(x + -3) Combine like terms: 6 + -3 = 3 3 + 3x = 7(x + -3) Reorder the terms: 3 + 3x = 7(-3 + x) 3 + 3x = (-3 * 7 + x * 7) 3 + 3x = (-21 + 7x) Solving 3 + 3x = -21 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 3 + 3x + -7x = -21 + 7x + -7x Combine like terms: 3x + -7x = -4x 3 + -4x = -21 + 7x + -7x Combine like terms: 7x + -7x = 0 3 + -4x = -21 + 0 3 + -4x = -21 Add '-3' to each side of the equation. 3 + -3 + -4x = -21 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = -21 + -3 -4x = -21 + -3 Combine like terms: -21 + -3 = -24 -4x = -24 Divide each side by '-4'. x = 6 Simplifying x = 6
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