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Simplifying (x + 7) + -3x = 4(2 + -1x) + -3(x + -3) Reorder the terms: (7 + x) + -3x = 4(2 + -1x) + -3(x + -3) Remove parenthesis around (7 + x) 7 + x + -3x = 4(2 + -1x) + -3(x + -3) Combine like terms: x + -3x = -2x 7 + -2x = 4(2 + -1x) + -3(x + -3) 7 + -2x = (2 * 4 + -1x * 4) + -3(x + -3) 7 + -2x = (8 + -4x) + -3(x + -3) Reorder the terms: 7 + -2x = 8 + -4x + -3(-3 + x) 7 + -2x = 8 + -4x + (-3 * -3 + x * -3) 7 + -2x = 8 + -4x + (9 + -3x) Reorder the terms: 7 + -2x = 8 + 9 + -4x + -3x Combine like terms: 8 + 9 = 17 7 + -2x = 17 + -4x + -3x Combine like terms: -4x + -3x = -7x 7 + -2x = 17 + -7x Solving 7 + -2x = 17 + -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. 7 + -2x + 7x = 17 + -7x + 7x Combine like terms: -2x + 7x = 5x 7 + 5x = 17 + -7x + 7x Combine like terms: -7x + 7x = 0 7 + 5x = 17 + 0 7 + 5x = 17 Add '-7' to each side of the equation. 7 + -7 + 5x = 17 + -7 Combine like terms: 7 + -7 = 0 0 + 5x = 17 + -7 5x = 17 + -7 Combine like terms: 17 + -7 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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