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