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Simplifying 4x + -18 = 7x + -42 Reorder the terms: -18 + 4x = 7x + -42 Reorder the terms: -18 + 4x = -42 + 7x Solving -18 + 4x = -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. -18 + 4x + -7x = -42 + 7x + -7x Combine like terms: 4x + -7x = -3x -18 + -3x = -42 + 7x + -7x Combine like terms: 7x + -7x = 0 -18 + -3x = -42 + 0 -18 + -3x = -42 Add '18' to each side of the equation. -18 + 18 + -3x = -42 + 18 Combine like terms: -18 + 18 = 0 0 + -3x = -42 + 18 -3x = -42 + 18 Combine like terms: -42 + 18 = -24 -3x = -24 Divide each side by '-3'. x = 8 Simplifying x = 8
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