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Simplifying 4x + -3(2x + -4) = 4(x + 3) + -10 Reorder the terms: 4x + -3(-4 + 2x) = 4(x + 3) + -10 4x + (-4 * -3 + 2x * -3) = 4(x + 3) + -10 4x + (12 + -6x) = 4(x + 3) + -10 Reorder the terms: 12 + 4x + -6x = 4(x + 3) + -10 Combine like terms: 4x + -6x = -2x 12 + -2x = 4(x + 3) + -10 Reorder the terms: 12 + -2x = 4(3 + x) + -10 12 + -2x = (3 * 4 + x * 4) + -10 12 + -2x = (12 + 4x) + -10 Reorder the terms: 12 + -2x = 12 + -10 + 4x Combine like terms: 12 + -10 = 2 12 + -2x = 2 + 4x Solving 12 + -2x = 2 + 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. 12 + -2x + -4x = 2 + 4x + -4x Combine like terms: -2x + -4x = -6x 12 + -6x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + -6x = 2 + 0 12 + -6x = 2 Add '-12' to each side of the equation. 12 + -12 + -6x = 2 + -12 Combine like terms: 12 + -12 = 0 0 + -6x = 2 + -12 -6x = 2 + -12 Combine like terms: 2 + -12 = -10 -6x = -10 Divide each side by '-6'. x = 1.666666667 Simplifying x = 1.666666667
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