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Simplifying 3(x + -2) + 7 = 5 + -2(x + 3) Reorder the terms: 3(-2 + x) + 7 = 5 + -2(x + 3) (-2 * 3 + x * 3) + 7 = 5 + -2(x + 3) (-6 + 3x) + 7 = 5 + -2(x + 3) Reorder the terms: -6 + 7 + 3x = 5 + -2(x + 3) Combine like terms: -6 + 7 = 1 1 + 3x = 5 + -2(x + 3) Reorder the terms: 1 + 3x = 5 + -2(3 + x) 1 + 3x = 5 + (3 * -2 + x * -2) 1 + 3x = 5 + (-6 + -2x) Combine like terms: 5 + -6 = -1 1 + 3x = -1 + -2x Solving 1 + 3x = -1 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 1 + 3x + 2x = -1 + -2x + 2x Combine like terms: 3x + 2x = 5x 1 + 5x = -1 + -2x + 2x Combine like terms: -2x + 2x = 0 1 + 5x = -1 + 0 1 + 5x = -1 Add '-1' to each side of the equation. 1 + -1 + 5x = -1 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = -1 + -1 5x = -1 + -1 Combine like terms: -1 + -1 = -2 5x = -2 Divide each side by '5'. x = -0.4 Simplifying x = -0.4
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