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Simplifying 42 = 8x + -1(4x + -8) + 7(x + -3) Reorder the terms: 42 = 8x + -1(-8 + 4x) + 7(x + -3) 42 = 8x + (-8 * -1 + 4x * -1) + 7(x + -3) 42 = 8x + (8 + -4x) + 7(x + -3) Reorder the terms: 42 = 8x + 8 + -4x + 7(-3 + x) 42 = 8x + 8 + -4x + (-3 * 7 + x * 7) 42 = 8x + 8 + -4x + (-21 + 7x) Reorder the terms: 42 = 8 + -21 + 8x + -4x + 7x Combine like terms: 8 + -21 = -13 42 = -13 + 8x + -4x + 7x Combine like terms: 8x + -4x = 4x 42 = -13 + 4x + 7x Combine like terms: 4x + 7x = 11x 42 = -13 + 11x Solving 42 = -13 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 42 + -11x = -13 + 11x + -11x Combine like terms: 11x + -11x = 0 42 + -11x = -13 + 0 42 + -11x = -13 Add '-42' to each side of the equation. 42 + -42 + -11x = -13 + -42 Combine like terms: 42 + -42 = 0 0 + -11x = -13 + -42 -11x = -13 + -42 Combine like terms: -13 + -42 = -55 -11x = -55 Divide each side by '-11'. x = 5 Simplifying x = 5
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