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Simplifying 2x + 1 = 8(x + -3) + 6x Reorder the terms: 1 + 2x = 8(x + -3) + 6x Reorder the terms: 1 + 2x = 8(-3 + x) + 6x 1 + 2x = (-3 * 8 + x * 8) + 6x 1 + 2x = (-24 + 8x) + 6x Combine like terms: 8x + 6x = 14x 1 + 2x = -24 + 14x Solving 1 + 2x = -24 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 1 + 2x + -14x = -24 + 14x + -14x Combine like terms: 2x + -14x = -12x 1 + -12x = -24 + 14x + -14x Combine like terms: 14x + -14x = 0 1 + -12x = -24 + 0 1 + -12x = -24 Add '-1' to each side of the equation. 1 + -1 + -12x = -24 + -1 Combine like terms: 1 + -1 = 0 0 + -12x = -24 + -1 -12x = -24 + -1 Combine like terms: -24 + -1 = -25 -12x = -25 Divide each side by '-12'. x = 2.083333333 Simplifying x = 2.083333333
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