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Simplifying 7[2 + -3(x + -4) + 4(x + -6)] = 0 Reorder the terms: 7[2 + -3(-4 + x) + 4(x + -6)] = 0 7[2 + (-4 * -3 + x * -3) + 4(x + -6)] = 0 7[2 + (12 + -3x) + 4(x + -6)] = 0 Reorder the terms: 7[2 + 12 + -3x + 4(-6 + x)] = 0 7[2 + 12 + -3x + (-6 * 4 + x * 4)] = 0 7[2 + 12 + -3x + (-24 + 4x)] = 0 Reorder the terms: 7[2 + 12 + -24 + -3x + 4x] = 0 Combine like terms: 2 + 12 = 14 7[14 + -24 + -3x + 4x] = 0 Combine like terms: 14 + -24 = -10 7[-10 + -3x + 4x] = 0 Combine like terms: -3x + 4x = 1x 7[-10 + 1x] = 0 [-10 * 7 + 1x * 7] = 0 [-70 + 7x] = 0 Solving -70 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '70' to each side of the equation. -70 + 70 + 7x = 0 + 70 Combine like terms: -70 + 70 = 0 0 + 7x = 0 + 70 7x = 0 + 70 Combine like terms: 0 + 70 = 70 7x = 70 Divide each side by '7'. x = 10 Simplifying x = 10
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