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Simplifying 4(x + -2) + -7(x + -2) = 3x + -12 Reorder the terms: 4(-2 + x) + -7(x + -2) = 3x + -12 (-2 * 4 + x * 4) + -7(x + -2) = 3x + -12 (-8 + 4x) + -7(x + -2) = 3x + -12 Reorder the terms: -8 + 4x + -7(-2 + x) = 3x + -12 -8 + 4x + (-2 * -7 + x * -7) = 3x + -12 -8 + 4x + (14 + -7x) = 3x + -12 Reorder the terms: -8 + 14 + 4x + -7x = 3x + -12 Combine like terms: -8 + 14 = 6 6 + 4x + -7x = 3x + -12 Combine like terms: 4x + -7x = -3x 6 + -3x = 3x + -12 Reorder the terms: 6 + -3x = -12 + 3x Solving 6 + -3x = -12 + 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. 6 + -3x + -3x = -12 + 3x + -3x Combine like terms: -3x + -3x = -6x 6 + -6x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + -6x = -12 + 0 6 + -6x = -12 Add '-6' to each side of the equation. 6 + -6 + -6x = -12 + -6 Combine like terms: 6 + -6 = 0 0 + -6x = -12 + -6 -6x = -12 + -6 Combine like terms: -12 + -6 = -18 -6x = -18 Divide each side by '-6'. x = 3 Simplifying x = 3
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