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Simplifying 4x + 5 = 7x + -2(x + -4) + -2x Reorder the terms: 5 + 4x = 7x + -2(x + -4) + -2x Reorder the terms: 5 + 4x = 7x + -2(-4 + x) + -2x 5 + 4x = 7x + (-4 * -2 + x * -2) + -2x 5 + 4x = 7x + (8 + -2x) + -2x Reorder the terms: 5 + 4x = 8 + 7x + -2x + -2x Combine like terms: 7x + -2x = 5x 5 + 4x = 8 + 5x + -2x Combine like terms: 5x + -2x = 3x 5 + 4x = 8 + 3x Solving 5 + 4x = 8 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 5 + 4x + -3x = 8 + 3x + -3x Combine like terms: 4x + -3x = 1x 5 + 1x = 8 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + 1x = 8 + 0 5 + 1x = 8 Add '-5' to each side of the equation. 5 + -5 + 1x = 8 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 8 + -5 1x = 8 + -5 Combine like terms: 8 + -5 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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