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Simplifying 2(4 + -3x) + -10 = 2x + -74 (4 * 2 + -3x * 2) + -10 = 2x + -74 (8 + -6x) + -10 = 2x + -74 Reorder the terms: 8 + -10 + -6x = 2x + -74 Combine like terms: 8 + -10 = -2 -2 + -6x = 2x + -74 Reorder the terms: -2 + -6x = -74 + 2x Solving -2 + -6x = -74 + 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. -2 + -6x + -2x = -74 + 2x + -2x Combine like terms: -6x + -2x = -8x -2 + -8x = -74 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + -8x = -74 + 0 -2 + -8x = -74 Add '2' to each side of the equation. -2 + 2 + -8x = -74 + 2 Combine like terms: -2 + 2 = 0 0 + -8x = -74 + 2 -8x = -74 + 2 Combine like terms: -74 + 2 = -72 -8x = -72 Divide each side by '-8'. x = 9 Simplifying x = 9
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