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Simplifying 3(x + -2) + -2(5 + -3x) = 7x + -4 Reorder the terms: 3(-2 + x) + -2(5 + -3x) = 7x + -4 (-2 * 3 + x * 3) + -2(5 + -3x) = 7x + -4 (-6 + 3x) + -2(5 + -3x) = 7x + -4 -6 + 3x + (5 * -2 + -3x * -2) = 7x + -4 -6 + 3x + (-10 + 6x) = 7x + -4 Reorder the terms: -6 + -10 + 3x + 6x = 7x + -4 Combine like terms: -6 + -10 = -16 -16 + 3x + 6x = 7x + -4 Combine like terms: 3x + 6x = 9x -16 + 9x = 7x + -4 Reorder the terms: -16 + 9x = -4 + 7x Solving -16 + 9x = -4 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -16 + 9x + -7x = -4 + 7x + -7x Combine like terms: 9x + -7x = 2x -16 + 2x = -4 + 7x + -7x Combine like terms: 7x + -7x = 0 -16 + 2x = -4 + 0 -16 + 2x = -4 Add '16' to each side of the equation. -16 + 16 + 2x = -4 + 16 Combine like terms: -16 + 16 = 0 0 + 2x = -4 + 16 2x = -4 + 16 Combine like terms: -4 + 16 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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