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Simplifying 4 + -3x = 4x + -45 Reorder the terms: 4 + -3x = -45 + 4x Solving 4 + -3x = -45 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 4 + -3x + -4x = -45 + 4x + -4x Combine like terms: -3x + -4x = -7x 4 + -7x = -45 + 4x + -4x Combine like terms: 4x + -4x = 0 4 + -7x = -45 + 0 4 + -7x = -45 Add '-4' to each side of the equation. 4 + -4 + -7x = -45 + -4 Combine like terms: 4 + -4 = 0 0 + -7x = -45 + -4 -7x = -45 + -4 Combine like terms: -45 + -4 = -49 -7x = -49 Divide each side by '-7'. x = 7 Simplifying x = 7
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