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Simplifying 74 + 6x = -4(-6x + 4) Reorder the terms: 74 + 6x = -4(4 + -6x) 74 + 6x = (4 * -4 + -6x * -4) 74 + 6x = (-16 + 24x) Solving 74 + 6x = -16 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 74 + 6x + -24x = -16 + 24x + -24x Combine like terms: 6x + -24x = -18x 74 + -18x = -16 + 24x + -24x Combine like terms: 24x + -24x = 0 74 + -18x = -16 + 0 74 + -18x = -16 Add '-74' to each side of the equation. 74 + -74 + -18x = -16 + -74 Combine like terms: 74 + -74 = 0 0 + -18x = -16 + -74 -18x = -16 + -74 Combine like terms: -16 + -74 = -90 -18x = -90 Divide each side by '-18'. x = 5 Simplifying x = 5
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