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Simplifying 7x + 3x + -4x = 3 + -3(x + 4) Combine like terms: 7x + 3x = 10x 10x + -4x = 3 + -3(x + 4) Combine like terms: 10x + -4x = 6x 6x = 3 + -3(x + 4) Reorder the terms: 6x = 3 + -3(4 + x) 6x = 3 + (4 * -3 + x * -3) 6x = 3 + (-12 + -3x) Combine like terms: 3 + -12 = -9 6x = -9 + -3x Solving 6x = -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. 6x + 3x = -9 + -3x + 3x Combine like terms: 6x + 3x = 9x 9x = -9 + -3x + 3x Combine like terms: -3x + 3x = 0 9x = -9 + 0 9x = -9 Divide each side by '9'. x = -1 Simplifying x = -1
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