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Simplifying 4(3x + -10) = 3(x + -2) + 12 Reorder the terms: 4(-10 + 3x) = 3(x + -2) + 12 (-10 * 4 + 3x * 4) = 3(x + -2) + 12 (-40 + 12x) = 3(x + -2) + 12 Reorder the terms: -40 + 12x = 3(-2 + x) + 12 -40 + 12x = (-2 * 3 + x * 3) + 12 -40 + 12x = (-6 + 3x) + 12 Reorder the terms: -40 + 12x = -6 + 12 + 3x Combine like terms: -6 + 12 = 6 -40 + 12x = 6 + 3x Solving -40 + 12x = 6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -40 + 12x + -3x = 6 + 3x + -3x Combine like terms: 12x + -3x = 9x -40 + 9x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 -40 + 9x = 6 + 0 -40 + 9x = 6 Add '40' to each side of the equation. -40 + 40 + 9x = 6 + 40 Combine like terms: -40 + 40 = 0 0 + 9x = 6 + 40 9x = 6 + 40 Combine like terms: 6 + 40 = 46 9x = 46 Divide each side by '9'. x = 5.111111111 Simplifying x = 5.111111111
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