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Simplifying 2x + -10 + -4x = 4(x + -74.5) Reorder the terms: -10 + 2x + -4x = 4(x + -74.5) Combine like terms: 2x + -4x = -2x -10 + -2x = 4(x + -74.5) Reorder the terms: -10 + -2x = 4(-74.5 + x) -10 + -2x = (-74.5 * 4 + x * 4) -10 + -2x = (-298 + 4x) Solving -10 + -2x = -298 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -10 + -2x + -4x = -298 + 4x + -4x Combine like terms: -2x + -4x = -6x -10 + -6x = -298 + 4x + -4x Combine like terms: 4x + -4x = 0 -10 + -6x = -298 + 0 -10 + -6x = -298 Add '10' to each side of the equation. -10 + 10 + -6x = -298 + 10 Combine like terms: -10 + 10 = 0 0 + -6x = -298 + 10 -6x = -298 + 10 Combine like terms: -298 + 10 = -288 -6x = -288 Divide each side by '-6'. x = 48 Simplifying x = 48
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