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Simplifying 4x + -7 + 6 = 5(x + -6) + 8 Reorder the terms: -7 + 6 + 4x = 5(x + -6) + 8 Combine like terms: -7 + 6 = -1 -1 + 4x = 5(x + -6) + 8 Reorder the terms: -1 + 4x = 5(-6 + x) + 8 -1 + 4x = (-6 * 5 + x * 5) + 8 -1 + 4x = (-30 + 5x) + 8 Reorder the terms: -1 + 4x = -30 + 8 + 5x Combine like terms: -30 + 8 = -22 -1 + 4x = -22 + 5x Solving -1 + 4x = -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. -1 + 4x + -5x = -22 + 5x + -5x Combine like terms: 4x + -5x = -1x -1 + -1x = -22 + 5x + -5x Combine like terms: 5x + -5x = 0 -1 + -1x = -22 + 0 -1 + -1x = -22 Add '1' to each side of the equation. -1 + 1 + -1x = -22 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = -22 + 1 -1x = -22 + 1 Combine like terms: -22 + 1 = -21 -1x = -21 Divide each side by '-1'. x = 21 Simplifying x = 21
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