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Simplifying 6x + -4 = 5(x + 3) + 7 Reorder the terms: -4 + 6x = 5(x + 3) + 7 Reorder the terms: -4 + 6x = 5(3 + x) + 7 -4 + 6x = (3 * 5 + x * 5) + 7 -4 + 6x = (15 + 5x) + 7 Reorder the terms: -4 + 6x = 15 + 7 + 5x Combine like terms: 15 + 7 = 22 -4 + 6x = 22 + 5x Solving -4 + 6x = 22 + 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. -4 + 6x + -5x = 22 + 5x + -5x Combine like terms: 6x + -5x = 1x -4 + 1x = 22 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + 1x = 22 + 0 -4 + 1x = 22 Add '4' to each side of the equation. -4 + 4 + 1x = 22 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = 22 + 4 1x = 22 + 4 Combine like terms: 22 + 4 = 26 1x = 26 Divide each side by '1'. x = 26 Simplifying x = 26
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