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Simplifying 6(2 + -4x) + 10x = 8x + 21 + -6x (2 * 6 + -4x * 6) + 10x = 8x + 21 + -6x (12 + -24x) + 10x = 8x + 21 + -6x Combine like terms: -24x + 10x = -14x 12 + -14x = 8x + 21 + -6x Reorder the terms: 12 + -14x = 21 + 8x + -6x Combine like terms: 8x + -6x = 2x 12 + -14x = 21 + 2x Solving 12 + -14x = 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. 12 + -14x + -2x = 21 + 2x + -2x Combine like terms: -14x + -2x = -16x 12 + -16x = 21 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + -16x = 21 + 0 12 + -16x = 21 Add '-12' to each side of the equation. 12 + -12 + -16x = 21 + -12 Combine like terms: 12 + -12 = 0 0 + -16x = 21 + -12 -16x = 21 + -12 Combine like terms: 21 + -12 = 9 -16x = 9 Divide each side by '-16'. x = -0.5625 Simplifying x = -0.5625
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