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Simplifying 7x + -3(2x + -4) = -3x + 6(1 + -1x) + -4 Reorder the terms: 7x + -3(-4 + 2x) = -3x + 6(1 + -1x) + -4 7x + (-4 * -3 + 2x * -3) = -3x + 6(1 + -1x) + -4 7x + (12 + -6x) = -3x + 6(1 + -1x) + -4 Reorder the terms: 12 + 7x + -6x = -3x + 6(1 + -1x) + -4 Combine like terms: 7x + -6x = 1x 12 + 1x = -3x + 6(1 + -1x) + -4 12 + 1x = -3x + (1 * 6 + -1x * 6) + -4 12 + 1x = -3x + (6 + -6x) + -4 Reorder the terms: 12 + 1x = 6 + -4 + -3x + -6x Combine like terms: 6 + -4 = 2 12 + 1x = 2 + -3x + -6x Combine like terms: -3x + -6x = -9x 12 + 1x = 2 + -9x Solving 12 + 1x = 2 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 12 + 1x + 9x = 2 + -9x + 9x Combine like terms: 1x + 9x = 10x 12 + 10x = 2 + -9x + 9x Combine like terms: -9x + 9x = 0 12 + 10x = 2 + 0 12 + 10x = 2 Add '-12' to each side of the equation. 12 + -12 + 10x = 2 + -12 Combine like terms: 12 + -12 = 0 0 + 10x = 2 + -12 10x = 2 + -12 Combine like terms: 2 + -12 = -10 10x = -10 Divide each side by '10'. x = -1 Simplifying x = -1
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