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Simplifying -74 = -5x + 4(6x + 10) Reorder the terms: -74 = -5x + 4(10 + 6x) -74 = -5x + (10 * 4 + 6x * 4) -74 = -5x + (40 + 24x) Reorder the terms: -74 = 40 + -5x + 24x Combine like terms: -5x + 24x = 19x -74 = 40 + 19x Solving -74 = 40 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. -74 + -19x = 40 + 19x + -19x Combine like terms: 19x + -19x = 0 -74 + -19x = 40 + 0 -74 + -19x = 40 Add '74' to each side of the equation. -74 + 74 + -19x = 40 + 74 Combine like terms: -74 + 74 = 0 0 + -19x = 40 + 74 -19x = 40 + 74 Combine like terms: 40 + 74 = 114 -19x = 114 Divide each side by '-19'. x = -6 Simplifying x = -6
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