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Simplifying 5x + -3(4 + -2x) = (6x + -8) + -7 5x + (4 * -3 + -2x * -3) = (6x + -8) + -7 5x + (-12 + 6x) = (6x + -8) + -7 Reorder the terms: -12 + 5x + 6x = (6x + -8) + -7 Combine like terms: 5x + 6x = 11x -12 + 11x = (6x + -8) + -7 Reorder the terms: -12 + 11x = (-8 + 6x) + -7 Remove parenthesis around (-8 + 6x) -12 + 11x = -8 + 6x + -7 Reorder the terms: -12 + 11x = -8 + -7 + 6x Combine like terms: -8 + -7 = -15 -12 + 11x = -15 + 6x Solving -12 + 11x = -15 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -12 + 11x + -6x = -15 + 6x + -6x Combine like terms: 11x + -6x = 5x -12 + 5x = -15 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + 5x = -15 + 0 -12 + 5x = -15 Add '12' to each side of the equation. -12 + 12 + 5x = -15 + 12 Combine like terms: -12 + 12 = 0 0 + 5x = -15 + 12 5x = -15 + 12 Combine like terms: -15 + 12 = -3 5x = -3 Divide each side by '5'. x = -0.6 Simplifying x = -0.6
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