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Simplifying 4 + 74 + -10x = 5(2x + -3) Combine like terms: 4 + 74 = 78 78 + -10x = 5(2x + -3) Reorder the terms: 78 + -10x = 5(-3 + 2x) 78 + -10x = (-3 * 5 + 2x * 5) 78 + -10x = (-15 + 10x) Solving 78 + -10x = -15 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 78 + -10x + -10x = -15 + 10x + -10x Combine like terms: -10x + -10x = -20x 78 + -20x = -15 + 10x + -10x Combine like terms: 10x + -10x = 0 78 + -20x = -15 + 0 78 + -20x = -15 Add '-78' to each side of the equation. 78 + -78 + -20x = -15 + -78 Combine like terms: 78 + -78 = 0 0 + -20x = -15 + -78 -20x = -15 + -78 Combine like terms: -15 + -78 = -93 -20x = -93 Divide each side by '-20'. x = 4.65 Simplifying x = 4.65
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