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Simplifying -5(x + 3) + 21 = 10 + -6x Reorder the terms: -5(3 + x) + 21 = 10 + -6x (3 * -5 + x * -5) + 21 = 10 + -6x (-15 + -5x) + 21 = 10 + -6x Reorder the terms: -15 + 21 + -5x = 10 + -6x Combine like terms: -15 + 21 = 6 6 + -5x = 10 + -6x Solving 6 + -5x = 10 + -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. 6 + -5x + 6x = 10 + -6x + 6x Combine like terms: -5x + 6x = 1x 6 + 1x = 10 + -6x + 6x Combine like terms: -6x + 6x = 0 6 + 1x = 10 + 0 6 + 1x = 10 Add '-6' to each side of the equation. 6 + -6 + 1x = 10 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 10 + -6 1x = 10 + -6 Combine like terms: 10 + -6 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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