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Simplifying 2(x + 2) + -3(3x + -3) = x + 7 Reorder the terms: 2(2 + x) + -3(3x + -3) = x + 7 (2 * 2 + x * 2) + -3(3x + -3) = x + 7 (4 + 2x) + -3(3x + -3) = x + 7 Reorder the terms: 4 + 2x + -3(-3 + 3x) = x + 7 4 + 2x + (-3 * -3 + 3x * -3) = x + 7 4 + 2x + (9 + -9x) = x + 7 Reorder the terms: 4 + 9 + 2x + -9x = x + 7 Combine like terms: 4 + 9 = 13 13 + 2x + -9x = x + 7 Combine like terms: 2x + -9x = -7x 13 + -7x = x + 7 Reorder the terms: 13 + -7x = 7 + x Solving 13 + -7x = 7 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 13 + -7x + -1x = 7 + x + -1x Combine like terms: -7x + -1x = -8x 13 + -8x = 7 + x + -1x Combine like terms: x + -1x = 0 13 + -8x = 7 + 0 13 + -8x = 7 Add '-13' to each side of the equation. 13 + -13 + -8x = 7 + -13 Combine like terms: 13 + -13 = 0 0 + -8x = 7 + -13 -8x = 7 + -13 Combine like terms: 7 + -13 = -6 -8x = -6 Divide each side by '-8'. x = 0.75 Simplifying x = 0.75
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