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Simplifying 5x + -4 = 3(2x + 7) + -6 Reorder the terms: -4 + 5x = 3(2x + 7) + -6 Reorder the terms: -4 + 5x = 3(7 + 2x) + -6 -4 + 5x = (7 * 3 + 2x * 3) + -6 -4 + 5x = (21 + 6x) + -6 Reorder the terms: -4 + 5x = 21 + -6 + 6x Combine like terms: 21 + -6 = 15 -4 + 5x = 15 + 6x Solving -4 + 5x = 15 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -4 + 5x + -6x = 15 + 6x + -6x Combine like terms: 5x + -6x = -1x -4 + -1x = 15 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + -1x = 15 + 0 -4 + -1x = 15 Add '4' to each side of the equation. -4 + 4 + -1x = 15 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 15 + 4 -1x = 15 + 4 Combine like terms: 15 + 4 = 19 -1x = 19 Divide each side by '-1'. x = -19 Simplifying x = -19
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