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Simplifying 4x + 3 = 7x + -42 Reorder the terms: 3 + 4x = 7x + -42 Reorder the terms: 3 + 4x = -42 + 7x Solving 3 + 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. 3 + 4x + -7x = -42 + 7x + -7x Combine like terms: 4x + -7x = -3x 3 + -3x = -42 + 7x + -7x Combine like terms: 7x + -7x = 0 3 + -3x = -42 + 0 3 + -3x = -42 Add '-3' to each side of the equation. 3 + -3 + -3x = -42 + -3 Combine like terms: 3 + -3 = 0 0 + -3x = -42 + -3 -3x = -42 + -3 Combine like terms: -42 + -3 = -45 -3x = -45 Divide each side by '-3'. x = 15 Simplifying x = 15
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