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Simplifying 7x + 10 = 92(3x + -4) Reorder the terms: 10 + 7x = 92(3x + -4) Reorder the terms: 10 + 7x = 92(-4 + 3x) 10 + 7x = (-4 * 92 + 3x * 92) 10 + 7x = (-368 + 276x) Solving 10 + 7x = -368 + 276x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-276x' to each side of the equation. 10 + 7x + -276x = -368 + 276x + -276x Combine like terms: 7x + -276x = -269x 10 + -269x = -368 + 276x + -276x Combine like terms: 276x + -276x = 0 10 + -269x = -368 + 0 10 + -269x = -368 Add '-10' to each side of the equation. 10 + -10 + -269x = -368 + -10 Combine like terms: 10 + -10 = 0 0 + -269x = -368 + -10 -269x = -368 + -10 Combine like terms: -368 + -10 = -378 -269x = -378 Divide each side by '-269'. x = 1.405204461 Simplifying x = 1.405204461
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