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Simplifying 5x + -1(4x + -6) = 6x + -21 Reorder the terms: 5x + -1(-6 + 4x) = 6x + -21 5x + (-6 * -1 + 4x * -1) = 6x + -21 5x + (6 + -4x) = 6x + -21 Reorder the terms: 6 + 5x + -4x = 6x + -21 Combine like terms: 5x + -4x = 1x 6 + 1x = 6x + -21 Reorder the terms: 6 + 1x = -21 + 6x Solving 6 + 1x = -21 + 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 + 1x + -6x = -21 + 6x + -6x Combine like terms: 1x + -6x = -5x 6 + -5x = -21 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + -5x = -21 + 0 6 + -5x = -21 Add '-6' to each side of the equation. 6 + -6 + -5x = -21 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = -21 + -6 -5x = -21 + -6 Combine like terms: -21 + -6 = -27 -5x = -27 Divide each side by '-5'. x = 5.4 Simplifying x = 5.4
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