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Simplifying 4x + 7 = 6x + -12 + -3x Reorder the terms: 7 + 4x = 6x + -12 + -3x Reorder the terms: 7 + 4x = -12 + 6x + -3x Combine like terms: 6x + -3x = 3x 7 + 4x = -12 + 3x Solving 7 + 4x = -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. 7 + 4x + -3x = -12 + 3x + -3x Combine like terms: 4x + -3x = 1x 7 + 1x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 7 + 1x = -12 + 0 7 + 1x = -12 Add '-7' to each side of the equation. 7 + -7 + 1x = -12 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = -12 + -7 1x = -12 + -7 Combine like terms: -12 + -7 = -19 1x = -19 Divide each side by '1'. x = -19 Simplifying x = -19
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