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Simplifying (x + -3) * 2 = 21 + -6(8 + -1x) Reorder the terms: (-3 + x) * 2 = 21 + -6(8 + -1x) Reorder the terms for easier multiplication: 2(-3 + x) = 21 + -6(8 + -1x) (-3 * 2 + x * 2) = 21 + -6(8 + -1x) (-6 + 2x) = 21 + -6(8 + -1x) -6 + 2x = 21 + (8 * -6 + -1x * -6) -6 + 2x = 21 + (-48 + 6x) Combine like terms: 21 + -48 = -27 -6 + 2x = -27 + 6x Solving -6 + 2x = -27 + 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 + 2x + -6x = -27 + 6x + -6x Combine like terms: 2x + -6x = -4x -6 + -4x = -27 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + -4x = -27 + 0 -6 + -4x = -27 Add '6' to each side of the equation. -6 + 6 + -4x = -27 + 6 Combine like terms: -6 + 6 = 0 0 + -4x = -27 + 6 -4x = -27 + 6 Combine like terms: -27 + 6 = -21 -4x = -21 Divide each side by '-4'. x = 5.25 Simplifying x = 5.25
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