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Simplifying 3(2x + 3) = 4(x + -10) Reorder the terms: 3(3 + 2x) = 4(x + -10) (3 * 3 + 2x * 3) = 4(x + -10) (9 + 6x) = 4(x + -10) Reorder the terms: 9 + 6x = 4(-10 + x) 9 + 6x = (-10 * 4 + x * 4) 9 + 6x = (-40 + 4x) Solving 9 + 6x = -40 + 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. 9 + 6x + -4x = -40 + 4x + -4x Combine like terms: 6x + -4x = 2x 9 + 2x = -40 + 4x + -4x Combine like terms: 4x + -4x = 0 9 + 2x = -40 + 0 9 + 2x = -40 Add '-9' to each side of the equation. 9 + -9 + 2x = -40 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = -40 + -9 2x = -40 + -9 Combine like terms: -40 + -9 = -49 2x = -49 Divide each side by '2'. x = -24.5 Simplifying x = -24.5
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