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Simplifying 6x + -4x + 12 = 3(x + -7) Reorder the terms: 12 + 6x + -4x = 3(x + -7) Combine like terms: 6x + -4x = 2x 12 + 2x = 3(x + -7) Reorder the terms: 12 + 2x = 3(-7 + x) 12 + 2x = (-7 * 3 + x * 3) 12 + 2x = (-21 + 3x) Solving 12 + 2x = -21 + 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. 12 + 2x + -3x = -21 + 3x + -3x Combine like terms: 2x + -3x = -1x 12 + -1x = -21 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + -1x = -21 + 0 12 + -1x = -21 Add '-12' to each side of the equation. 12 + -12 + -1x = -21 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = -21 + -12 -1x = -21 + -12 Combine like terms: -21 + -12 = -33 -1x = -33 Divide each side by '-1'. x = 33 Simplifying x = 33
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