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Simplifying 4(3x + -10) + -2 = 3(x + -2) Reorder the terms: 4(-10 + 3x) + -2 = 3(x + -2) (-10 * 4 + 3x * 4) + -2 = 3(x + -2) (-40 + 12x) + -2 = 3(x + -2) Reorder the terms: -40 + -2 + 12x = 3(x + -2) Combine like terms: -40 + -2 = -42 -42 + 12x = 3(x + -2) Reorder the terms: -42 + 12x = 3(-2 + x) -42 + 12x = (-2 * 3 + x * 3) -42 + 12x = (-6 + 3x) Solving -42 + 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. -42 + 12x + -3x = -6 + 3x + -3x Combine like terms: 12x + -3x = 9x -42 + 9x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 -42 + 9x = -6 + 0 -42 + 9x = -6 Add '42' to each side of the equation. -42 + 42 + 9x = -6 + 42 Combine like terms: -42 + 42 = 0 0 + 9x = -6 + 42 9x = -6 + 42 Combine like terms: -6 + 42 = 36 9x = 36 Divide each side by '9'. x = 4 Simplifying x = 4
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