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Simplifying 7x + 3 + -4x = 3 + -3(x + 4) Reorder the terms: 3 + 7x + -4x = 3 + -3(x + 4) Combine like terms: 7x + -4x = 3x 3 + 3x = 3 + -3(x + 4) Reorder the terms: 3 + 3x = 3 + -3(4 + x) 3 + 3x = 3 + (4 * -3 + x * -3) 3 + 3x = 3 + (-12 + -3x) Combine like terms: 3 + -12 = -9 3 + 3x = -9 + -3x Solving 3 + 3x = -9 + -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. 3 + 3x + 3x = -9 + -3x + 3x Combine like terms: 3x + 3x = 6x 3 + 6x = -9 + -3x + 3x Combine like terms: -3x + 3x = 0 3 + 6x = -9 + 0 3 + 6x = -9 Add '-3' to each side of the equation. 3 + -3 + 6x = -9 + -3 Combine like terms: 3 + -3 = 0 0 + 6x = -9 + -3 6x = -9 + -3 Combine like terms: -9 + -3 = -12 6x = -12 Divide each side by '6'. x = -2 Simplifying x = -2
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