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Simplifying -3x + 12 + -4x = 5x + 3x + -7 Reorder the terms: 12 + -3x + -4x = 5x + 3x + -7 Combine like terms: -3x + -4x = -7x 12 + -7x = 5x + 3x + -7 Reorder the terms: 12 + -7x = -7 + 5x + 3x Combine like terms: 5x + 3x = 8x 12 + -7x = -7 + 8x Solving 12 + -7x = -7 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 12 + -7x + -8x = -7 + 8x + -8x Combine like terms: -7x + -8x = -15x 12 + -15x = -7 + 8x + -8x Combine like terms: 8x + -8x = 0 12 + -15x = -7 + 0 12 + -15x = -7 Add '-12' to each side of the equation. 12 + -12 + -15x = -7 + -12 Combine like terms: 12 + -12 = 0 0 + -15x = -7 + -12 -15x = -7 + -12 Combine like terms: -7 + -12 = -19 -15x = -19 Divide each side by '-15'. x = 1.266666667 Simplifying x = 1.266666667
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