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Simplifying -4x + 7(x + 3) = 8x + 14 Reorder the terms: -4x + 7(3 + x) = 8x + 14 -4x + (3 * 7 + x * 7) = 8x + 14 -4x + (21 + 7x) = 8x + 14 Reorder the terms: 21 + -4x + 7x = 8x + 14 Combine like terms: -4x + 7x = 3x 21 + 3x = 8x + 14 Reorder the terms: 21 + 3x = 14 + 8x Solving 21 + 3x = 14 + 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. 21 + 3x + -8x = 14 + 8x + -8x Combine like terms: 3x + -8x = -5x 21 + -5x = 14 + 8x + -8x Combine like terms: 8x + -8x = 0 21 + -5x = 14 + 0 21 + -5x = 14 Add '-21' to each side of the equation. 21 + -21 + -5x = 14 + -21 Combine like terms: 21 + -21 = 0 0 + -5x = 14 + -21 -5x = 14 + -21 Combine like terms: 14 + -21 = -7 -5x = -7 Divide each side by '-5'. x = 1.4 Simplifying x = 1.4
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