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Simplifying 4x + -3(2x + -1) = 7x + -42 Reorder the terms: 4x + -3(-1 + 2x) = 7x + -42 4x + (-1 * -3 + 2x * -3) = 7x + -42 4x + (3 + -6x) = 7x + -42 Reorder the terms: 3 + 4x + -6x = 7x + -42 Combine like terms: 4x + -6x = -2x 3 + -2x = 7x + -42 Reorder the terms: 3 + -2x = -42 + 7x Solving 3 + -2x = -42 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 3 + -2x + -7x = -42 + 7x + -7x Combine like terms: -2x + -7x = -9x 3 + -9x = -42 + 7x + -7x Combine like terms: 7x + -7x = 0 3 + -9x = -42 + 0 3 + -9x = -42 Add '-3' to each side of the equation. 3 + -3 + -9x = -42 + -3 Combine like terms: 3 + -3 = 0 0 + -9x = -42 + -3 -9x = -42 + -3 Combine like terms: -42 + -3 = -45 -9x = -45 Divide each side by '-9'. x = 5 Simplifying x = 5
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