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Simplifying 3(2x + -5) + -4(3x + 2) = 2 + -2(x + 2) Reorder the terms: 3(-5 + 2x) + -4(3x + 2) = 2 + -2(x + 2) (-5 * 3 + 2x * 3) + -4(3x + 2) = 2 + -2(x + 2) (-15 + 6x) + -4(3x + 2) = 2 + -2(x + 2) Reorder the terms: -15 + 6x + -4(2 + 3x) = 2 + -2(x + 2) -15 + 6x + (2 * -4 + 3x * -4) = 2 + -2(x + 2) -15 + 6x + (-8 + -12x) = 2 + -2(x + 2) Reorder the terms: -15 + -8 + 6x + -12x = 2 + -2(x + 2) Combine like terms: -15 + -8 = -23 -23 + 6x + -12x = 2 + -2(x + 2) Combine like terms: 6x + -12x = -6x -23 + -6x = 2 + -2(x + 2) Reorder the terms: -23 + -6x = 2 + -2(2 + x) -23 + -6x = 2 + (2 * -2 + x * -2) -23 + -6x = 2 + (-4 + -2x) Combine like terms: 2 + -4 = -2 -23 + -6x = -2 + -2x Solving -23 + -6x = -2 + -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. -23 + -6x + 2x = -2 + -2x + 2x Combine like terms: -6x + 2x = -4x -23 + -4x = -2 + -2x + 2x Combine like terms: -2x + 2x = 0 -23 + -4x = -2 + 0 -23 + -4x = -2 Add '23' to each side of the equation. -23 + 23 + -4x = -2 + 23 Combine like terms: -23 + 23 = 0 0 + -4x = -2 + 23 -4x = -2 + 23 Combine like terms: -2 + 23 = 21 -4x = 21 Divide each side by '-4'. x = -5.25 Simplifying x = -5.25
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