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Simplifying 4(x + 3) = 7(x + -3) Reorder the terms: 4(3 + x) = 7(x + -3) (3 * 4 + x * 4) = 7(x + -3) (12 + 4x) = 7(x + -3) Reorder the terms: 12 + 4x = 7(-3 + x) 12 + 4x = (-3 * 7 + x * 7) 12 + 4x = (-21 + 7x) Solving 12 + 4x = -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. 12 + 4x + -7x = -21 + 7x + -7x Combine like terms: 4x + -7x = -3x 12 + -3x = -21 + 7x + -7x Combine like terms: 7x + -7x = 0 12 + -3x = -21 + 0 12 + -3x = -21 Add '-12' to each side of the equation. 12 + -12 + -3x = -21 + -12 Combine like terms: 12 + -12 = 0 0 + -3x = -21 + -12 -3x = -21 + -12 Combine like terms: -21 + -12 = -33 -3x = -33 Divide each side by '-3'. x = 11 Simplifying x = 11
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