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Simplifying 7 + 3(x + -5) = 3[7 + -2(x + 3)] Reorder the terms: 7 + 3(-5 + x) = 3[7 + -2(x + 3)] 7 + (-5 * 3 + x * 3) = 3[7 + -2(x + 3)] 7 + (-15 + 3x) = 3[7 + -2(x + 3)] Combine like terms: 7 + -15 = -8 -8 + 3x = 3[7 + -2(x + 3)] Reorder the terms: -8 + 3x = 3[7 + -2(3 + x)] -8 + 3x = 3[7 + (3 * -2 + x * -2)] -8 + 3x = 3[7 + (-6 + -2x)] Combine like terms: 7 + -6 = 1 -8 + 3x = 3[1 + -2x] -8 + 3x = [1 * 3 + -2x * 3] -8 + 3x = [3 + -6x] Solving -8 + 3x = 3 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -8 + 3x + 6x = 3 + -6x + 6x Combine like terms: 3x + 6x = 9x -8 + 9x = 3 + -6x + 6x Combine like terms: -6x + 6x = 0 -8 + 9x = 3 + 0 -8 + 9x = 3 Add '8' to each side of the equation. -8 + 8 + 9x = 3 + 8 Combine like terms: -8 + 8 = 0 0 + 9x = 3 + 8 9x = 3 + 8 Combine like terms: 3 + 8 = 11 9x = 11 Divide each side by '9'. x = 1.222222222 Simplifying x = 1.222222222
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