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Simplifying 22 + 4(2x + -34) = 42(x + -2) + -10(3 + -1x) Reorder the terms: 22 + 4(-34 + 2x) = 42(x + -2) + -10(3 + -1x) 22 + (-34 * 4 + 2x * 4) = 42(x + -2) + -10(3 + -1x) 22 + (-136 + 8x) = 42(x + -2) + -10(3 + -1x) Combine like terms: 22 + -136 = -114 -114 + 8x = 42(x + -2) + -10(3 + -1x) Reorder the terms: -114 + 8x = 42(-2 + x) + -10(3 + -1x) -114 + 8x = (-2 * 42 + x * 42) + -10(3 + -1x) -114 + 8x = (-84 + 42x) + -10(3 + -1x) -114 + 8x = -84 + 42x + (3 * -10 + -1x * -10) -114 + 8x = -84 + 42x + (-30 + 10x) Reorder the terms: -114 + 8x = -84 + -30 + 42x + 10x Combine like terms: -84 + -30 = -114 -114 + 8x = -114 + 42x + 10x Combine like terms: 42x + 10x = 52x -114 + 8x = -114 + 52x Add '114' to each side of the equation. -114 + 114 + 8x = -114 + 114 + 52x Combine like terms: -114 + 114 = 0 0 + 8x = -114 + 114 + 52x 8x = -114 + 114 + 52x Combine like terms: -114 + 114 = 0 8x = 0 + 52x 8x = 52x Solving 8x = 52x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-52x' to each side of the equation. 8x + -52x = 52x + -52x Combine like terms: 8x + -52x = -44x -44x = 52x + -52x Combine like terms: 52x + -52x = 0 -44x = 0 Divide each side by '-44'. x = 0 Simplifying x = 0
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