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Simplifying 3x + 7 = 4(2x + -2) Reorder the terms: 7 + 3x = 4(2x + -2) Reorder the terms: 7 + 3x = 4(-2 + 2x) 7 + 3x = (-2 * 4 + 2x * 4) 7 + 3x = (-8 + 8x) Solving 7 + 3x = -8 + 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. 7 + 3x + -8x = -8 + 8x + -8x Combine like terms: 3x + -8x = -5x 7 + -5x = -8 + 8x + -8x Combine like terms: 8x + -8x = 0 7 + -5x = -8 + 0 7 + -5x = -8 Add '-7' to each side of the equation. 7 + -7 + -5x = -8 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = -8 + -7 -5x = -8 + -7 Combine like terms: -8 + -7 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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