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Simplifying 7(x + 3) + 9 = 3(x + -4) + 6 Reorder the terms: 7(3 + x) + 9 = 3(x + -4) + 6 (3 * 7 + x * 7) + 9 = 3(x + -4) + 6 (21 + 7x) + 9 = 3(x + -4) + 6 Reorder the terms: 21 + 9 + 7x = 3(x + -4) + 6 Combine like terms: 21 + 9 = 30 30 + 7x = 3(x + -4) + 6 Reorder the terms: 30 + 7x = 3(-4 + x) + 6 30 + 7x = (-4 * 3 + x * 3) + 6 30 + 7x = (-12 + 3x) + 6 Reorder the terms: 30 + 7x = -12 + 6 + 3x Combine like terms: -12 + 6 = -6 30 + 7x = -6 + 3x Solving 30 + 7x = -6 + 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. 30 + 7x + -3x = -6 + 3x + -3x Combine like terms: 7x + -3x = 4x 30 + 4x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 30 + 4x = -6 + 0 30 + 4x = -6 Add '-30' to each side of the equation. 30 + -30 + 4x = -6 + -30 Combine like terms: 30 + -30 = 0 0 + 4x = -6 + -30 4x = -6 + -30 Combine like terms: -6 + -30 = -36 4x = -36 Divide each side by '4'. x = -9 Simplifying x = -9
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