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Simplifying 3[4 + (3)(-2)] = 3x + -1(x + -10) Multiply 3 * -2 3[4 + -6] = 3x + -1(x + -10) Combine like terms: 4 + -6 = -2 3[-2] = 3x + -1(x + -10) Multiply 3 * -2 -6 = 3x + -1(x + -10) Reorder the terms: -6 = 3x + -1(-10 + x) -6 = 3x + (-10 * -1 + x * -1) -6 = 3x + (10 + -1x) Reorder the terms: -6 = 10 + 3x + -1x Combine like terms: 3x + -1x = 2x -6 = 10 + 2x Solving -6 = 10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -6 + -2x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + -2x = 10 + 0 -6 + -2x = 10 Add '6' to each side of the equation. -6 + 6 + -2x = 10 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = 10 + 6 -2x = 10 + 6 Combine like terms: 10 + 6 = 16 -2x = 16 Divide each side by '-2'. x = -8 Simplifying x = -8
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