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Simplifying 7x + -3 = (2x + 6) + -1(3x + -3) Reorder the terms: -3 + 7x = (2x + 6) + -1(3x + -3) Reorder the terms: -3 + 7x = (6 + 2x) + -1(3x + -3) Remove parenthesis around (6 + 2x) -3 + 7x = 6 + 2x + -1(3x + -3) Reorder the terms: -3 + 7x = 6 + 2x + -1(-3 + 3x) -3 + 7x = 6 + 2x + (-3 * -1 + 3x * -1) -3 + 7x = 6 + 2x + (3 + -3x) Reorder the terms: -3 + 7x = 6 + 3 + 2x + -3x Combine like terms: 6 + 3 = 9 -3 + 7x = 9 + 2x + -3x Combine like terms: 2x + -3x = -1x -3 + 7x = 9 + -1x Solving -3 + 7x = 9 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -3 + 7x + x = 9 + -1x + x Combine like terms: 7x + x = 8x -3 + 8x = 9 + -1x + x Combine like terms: -1x + x = 0 -3 + 8x = 9 + 0 -3 + 8x = 9 Add '3' to each side of the equation. -3 + 3 + 8x = 9 + 3 Combine like terms: -3 + 3 = 0 0 + 8x = 9 + 3 8x = 9 + 3 Combine like terms: 9 + 3 = 12 8x = 12 Divide each side by '8'. x = 1.5 Simplifying x = 1.5
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