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Simplifying 5(x + -6) + -10 = 4x + 22 Reorder the terms: 5(-6 + x) + -10 = 4x + 22 (-6 * 5 + x * 5) + -10 = 4x + 22 (-30 + 5x) + -10 = 4x + 22 Reorder the terms: -30 + -10 + 5x = 4x + 22 Combine like terms: -30 + -10 = -40 -40 + 5x = 4x + 22 Reorder the terms: -40 + 5x = 22 + 4x Solving -40 + 5x = 22 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -40 + 5x + -4x = 22 + 4x + -4x Combine like terms: 5x + -4x = 1x -40 + 1x = 22 + 4x + -4x Combine like terms: 4x + -4x = 0 -40 + 1x = 22 + 0 -40 + 1x = 22 Add '40' to each side of the equation. -40 + 40 + 1x = 22 + 40 Combine like terms: -40 + 40 = 0 0 + 1x = 22 + 40 1x = 22 + 40 Combine like terms: 22 + 40 = 62 1x = 62 Divide each side by '1'. x = 62 Simplifying x = 62
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