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Simplifying -3(4x + 7) + 5x = 10 + -3(x + -6) Reorder the terms: -3(7 + 4x) + 5x = 10 + -3(x + -6) (7 * -3 + 4x * -3) + 5x = 10 + -3(x + -6) (-21 + -12x) + 5x = 10 + -3(x + -6) Combine like terms: -12x + 5x = -7x -21 + -7x = 10 + -3(x + -6) Reorder the terms: -21 + -7x = 10 + -3(-6 + x) -21 + -7x = 10 + (-6 * -3 + x * -3) -21 + -7x = 10 + (18 + -3x) Combine like terms: 10 + 18 = 28 -21 + -7x = 28 + -3x Solving -21 + -7x = 28 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -21 + -7x + 3x = 28 + -3x + 3x Combine like terms: -7x + 3x = -4x -21 + -4x = 28 + -3x + 3x Combine like terms: -3x + 3x = 0 -21 + -4x = 28 + 0 -21 + -4x = 28 Add '21' to each side of the equation. -21 + 21 + -4x = 28 + 21 Combine like terms: -21 + 21 = 0 0 + -4x = 28 + 21 -4x = 28 + 21 Combine like terms: 28 + 21 = 49 -4x = 49 Divide each side by '-4'. x = -12.25 Simplifying x = -12.25
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