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Simplifying 45 + 4x + -3 = 6x + -4 Reorder the terms: 45 + -3 + 4x = 6x + -4 Combine like terms: 45 + -3 = 42 42 + 4x = 6x + -4 Reorder the terms: 42 + 4x = -4 + 6x Solving 42 + 4x = -4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 42 + 4x + -6x = -4 + 6x + -6x Combine like terms: 4x + -6x = -2x 42 + -2x = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 42 + -2x = -4 + 0 42 + -2x = -4 Add '-42' to each side of the equation. 42 + -42 + -2x = -4 + -42 Combine like terms: 42 + -42 = 0 0 + -2x = -4 + -42 -2x = -4 + -42 Combine like terms: -4 + -42 = -46 -2x = -46 Divide each side by '-2'. x = 23 Simplifying x = 23
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