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Simplifying 2x + -3(x + 4) = 6x + 12 Reorder the terms: 2x + -3(4 + x) = 6x + 12 2x + (4 * -3 + x * -3) = 6x + 12 2x + (-12 + -3x) = 6x + 12 Reorder the terms: -12 + 2x + -3x = 6x + 12 Combine like terms: 2x + -3x = -1x -12 + -1x = 6x + 12 Reorder the terms: -12 + -1x = 12 + 6x Solving -12 + -1x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -12 + -1x + -6x = 12 + 6x + -6x Combine like terms: -1x + -6x = -7x -12 + -7x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + -7x = 12 + 0 -12 + -7x = 12 Add '12' to each side of the equation. -12 + 12 + -7x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + -7x = 12 + 12 -7x = 12 + 12 Combine like terms: 12 + 12 = 24 -7x = 24 Divide each side by '-7'. x = -3.428571429 Simplifying x = -3.428571429
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