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Simplifying 5(2x + -3) + -3(4x + 2) = 6(2x + -7) Reorder the terms: 5(-3 + 2x) + -3(4x + 2) = 6(2x + -7) (-3 * 5 + 2x * 5) + -3(4x + 2) = 6(2x + -7) (-15 + 10x) + -3(4x + 2) = 6(2x + -7) Reorder the terms: -15 + 10x + -3(2 + 4x) = 6(2x + -7) -15 + 10x + (2 * -3 + 4x * -3) = 6(2x + -7) -15 + 10x + (-6 + -12x) = 6(2x + -7) Reorder the terms: -15 + -6 + 10x + -12x = 6(2x + -7) Combine like terms: -15 + -6 = -21 -21 + 10x + -12x = 6(2x + -7) Combine like terms: 10x + -12x = -2x -21 + -2x = 6(2x + -7) Reorder the terms: -21 + -2x = 6(-7 + 2x) -21 + -2x = (-7 * 6 + 2x * 6) -21 + -2x = (-42 + 12x) Solving -21 + -2x = -42 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -21 + -2x + -12x = -42 + 12x + -12x Combine like terms: -2x + -12x = -14x -21 + -14x = -42 + 12x + -12x Combine like terms: 12x + -12x = 0 -21 + -14x = -42 + 0 -21 + -14x = -42 Add '21' to each side of the equation. -21 + 21 + -14x = -42 + 21 Combine like terms: -21 + 21 = 0 0 + -14x = -42 + 21 -14x = -42 + 21 Combine like terms: -42 + 21 = -21 -14x = -21 Divide each side by '-14'. x = 1.5 Simplifying x = 1.5
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