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Simplifying 4(x + 3) = 7 + -1(2 + -3x) Reorder the terms: 4(3 + x) = 7 + -1(2 + -3x) (3 * 4 + x * 4) = 7 + -1(2 + -3x) (12 + 4x) = 7 + -1(2 + -3x) 12 + 4x = 7 + (2 * -1 + -3x * -1) 12 + 4x = 7 + (-2 + 3x) Combine like terms: 7 + -2 = 5 12 + 4x = 5 + 3x Solving 12 + 4x = 5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 12 + 4x + -3x = 5 + 3x + -3x Combine like terms: 4x + -3x = 1x 12 + 1x = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + 1x = 5 + 0 12 + 1x = 5 Add '-12' to each side of the equation. 12 + -12 + 1x = 5 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 5 + -12 1x = 5 + -12 Combine like terms: 5 + -12 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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