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Simplifying 4[2x + -3] + -2x = 5x + 7 Reorder the terms: 4[-3 + 2x] + -2x = 5x + 7 [-3 * 4 + 2x * 4] + -2x = 5x + 7 [-12 + 8x] + -2x = 5x + 7 Combine like terms: 8x + -2x = 6x -12 + 6x = 5x + 7 Reorder the terms: -12 + 6x = 7 + 5x Solving -12 + 6x = 7 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -12 + 6x + -5x = 7 + 5x + -5x Combine like terms: 6x + -5x = 1x -12 + 1x = 7 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + 1x = 7 + 0 -12 + 1x = 7 Add '12' to each side of the equation. -12 + 12 + 1x = 7 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = 7 + 12 1x = 7 + 12 Combine like terms: 7 + 12 = 19 1x = 19 Divide each side by '1'. x = 19 Simplifying x = 19
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