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Simplifying 5x + -3(6x + -2) = 2x + 21 Reorder the terms: 5x + -3(-2 + 6x) = 2x + 21 5x + (-2 * -3 + 6x * -3) = 2x + 21 5x + (6 + -18x) = 2x + 21 Reorder the terms: 6 + 5x + -18x = 2x + 21 Combine like terms: 5x + -18x = -13x 6 + -13x = 2x + 21 Reorder the terms: 6 + -13x = 21 + 2x Solving 6 + -13x = 21 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 6 + -13x + -2x = 21 + 2x + -2x Combine like terms: -13x + -2x = -15x 6 + -15x = 21 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + -15x = 21 + 0 6 + -15x = 21 Add '-6' to each side of the equation. 6 + -6 + -15x = 21 + -6 Combine like terms: 6 + -6 = 0 0 + -15x = 21 + -6 -15x = 21 + -6 Combine like terms: 21 + -6 = 15 -15x = 15 Divide each side by '-15'. x = -1 Simplifying x = -1
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