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Simplifying 8(x + -2) + 10 = 14x + -24 Reorder the terms: 8(-2 + x) + 10 = 14x + -24 (-2 * 8 + x * 8) + 10 = 14x + -24 (-16 + 8x) + 10 = 14x + -24 Reorder the terms: -16 + 10 + 8x = 14x + -24 Combine like terms: -16 + 10 = -6 -6 + 8x = 14x + -24 Reorder the terms: -6 + 8x = -24 + 14x Solving -6 + 8x = -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. -6 + 8x + -14x = -24 + 14x + -14x Combine like terms: 8x + -14x = -6x -6 + -6x = -24 + 14x + -14x Combine like terms: 14x + -14x = 0 -6 + -6x = -24 + 0 -6 + -6x = -24 Add '6' to each side of the equation. -6 + 6 + -6x = -24 + 6 Combine like terms: -6 + 6 = 0 0 + -6x = -24 + 6 -6x = -24 + 6 Combine like terms: -24 + 6 = -18 -6x = -18 Divide each side by '-6'. x = 3 Simplifying x = 3
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