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Simplifying 6x + -3(5x + -4) = -42 Reorder the terms: 6x + -3(-4 + 5x) = -42 6x + (-4 * -3 + 5x * -3) = -42 6x + (12 + -15x) = -42 Reorder the terms: 12 + 6x + -15x = -42 Combine like terms: 6x + -15x = -9x 12 + -9x = -42 Solving 12 + -9x = -42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -9x = -42 + -12 Combine like terms: 12 + -12 = 0 0 + -9x = -42 + -12 -9x = -42 + -12 Combine like terms: -42 + -12 = -54 -9x = -54 Divide each side by '-9'. x = 6 Simplifying x = 6
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