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Simplifying 5(2x + -3) + -2(3 + -2x) = 15 + -6(x + 1) Reorder the terms: 5(-3 + 2x) + -2(3 + -2x) = 15 + -6(x + 1) (-3 * 5 + 2x * 5) + -2(3 + -2x) = 15 + -6(x + 1) (-15 + 10x) + -2(3 + -2x) = 15 + -6(x + 1) -15 + 10x + (3 * -2 + -2x * -2) = 15 + -6(x + 1) -15 + 10x + (-6 + 4x) = 15 + -6(x + 1) Reorder the terms: -15 + -6 + 10x + 4x = 15 + -6(x + 1) Combine like terms: -15 + -6 = -21 -21 + 10x + 4x = 15 + -6(x + 1) Combine like terms: 10x + 4x = 14x -21 + 14x = 15 + -6(x + 1) Reorder the terms: -21 + 14x = 15 + -6(1 + x) -21 + 14x = 15 + (1 * -6 + x * -6) -21 + 14x = 15 + (-6 + -6x) Combine like terms: 15 + -6 = 9 -21 + 14x = 9 + -6x Solving -21 + 14x = 9 + -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. -21 + 14x + 6x = 9 + -6x + 6x Combine like terms: 14x + 6x = 20x -21 + 20x = 9 + -6x + 6x Combine like terms: -6x + 6x = 0 -21 + 20x = 9 + 0 -21 + 20x = 9 Add '21' to each side of the equation. -21 + 21 + 20x = 9 + 21 Combine like terms: -21 + 21 = 0 0 + 20x = 9 + 21 20x = 9 + 21 Combine like terms: 9 + 21 = 30 20x = 30 Divide each side by '20'. x = 1.5 Simplifying x = 1.5
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