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Simplifying 4x + 7 + -2x + 12 = x + -4 + 6x Reorder the terms: 7 + 12 + 4x + -2x = x + -4 + 6x Combine like terms: 7 + 12 = 19 19 + 4x + -2x = x + -4 + 6x Combine like terms: 4x + -2x = 2x 19 + 2x = x + -4 + 6x Reorder the terms: 19 + 2x = -4 + x + 6x Combine like terms: x + 6x = 7x 19 + 2x = -4 + 7x Solving 19 + 2x = -4 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 19 + 2x + -7x = -4 + 7x + -7x Combine like terms: 2x + -7x = -5x 19 + -5x = -4 + 7x + -7x Combine like terms: 7x + -7x = 0 19 + -5x = -4 + 0 19 + -5x = -4 Add '-19' to each side of the equation. 19 + -19 + -5x = -4 + -19 Combine like terms: 19 + -19 = 0 0 + -5x = -4 + -19 -5x = -4 + -19 Combine like terms: -4 + -19 = -23 -5x = -23 Divide each side by '-5'. x = 4.6 Simplifying x = 4.6
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