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Simplifying -4x + 6 + 3(x + 1) = 4x + -7 Reorder the terms: -4x + 6 + 3(1 + x) = 4x + -7 -4x + 6 + (1 * 3 + x * 3) = 4x + -7 -4x + 6 + (3 + 3x) = 4x + -7 Reorder the terms: 6 + 3 + -4x + 3x = 4x + -7 Combine like terms: 6 + 3 = 9 9 + -4x + 3x = 4x + -7 Combine like terms: -4x + 3x = -1x 9 + -1x = 4x + -7 Reorder the terms: 9 + -1x = -7 + 4x Solving 9 + -1x = -7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 9 + -1x + -4x = -7 + 4x + -4x Combine like terms: -1x + -4x = -5x 9 + -5x = -7 + 4x + -4x Combine like terms: 4x + -4x = 0 9 + -5x = -7 + 0 9 + -5x = -7 Add '-9' to each side of the equation. 9 + -9 + -5x = -7 + -9 Combine like terms: 9 + -9 = 0 0 + -5x = -7 + -9 -5x = -7 + -9 Combine like terms: -7 + -9 = -16 -5x = -16 Divide each side by '-5'. x = 3.2 Simplifying x = 3.2
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