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Simplifying 3x + 4 = 7x + -3(x + 1) Reorder the terms: 4 + 3x = 7x + -3(x + 1) Reorder the terms: 4 + 3x = 7x + -3(1 + x) 4 + 3x = 7x + (1 * -3 + x * -3) 4 + 3x = 7x + (-3 + -3x) Reorder the terms: 4 + 3x = -3 + 7x + -3x Combine like terms: 7x + -3x = 4x 4 + 3x = -3 + 4x Solving 4 + 3x = -3 + 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 = -3 + 4x + -4x Combine like terms: 3x + -4x = -1x 4 + -1x = -3 + 4x + -4x Combine like terms: 4x + -4x = 0 4 + -1x = -3 + 0 4 + -1x = -3 Add '-4' to each side of the equation. 4 + -4 + -1x = -3 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = -3 + -4 -1x = -3 + -4 Combine like terms: -3 + -4 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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