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Simplifying 6(x + -7) + 5x + -3(2x + 4) = (-4x + -5) Reorder the terms: 6(-7 + x) + 5x + -3(2x + 4) = (-4x + -5) (-7 * 6 + x * 6) + 5x + -3(2x + 4) = (-4x + -5) (-42 + 6x) + 5x + -3(2x + 4) = (-4x + -5) Reorder the terms: -42 + 6x + 5x + -3(4 + 2x) = (-4x + -5) -42 + 6x + 5x + (4 * -3 + 2x * -3) = (-4x + -5) -42 + 6x + 5x + (-12 + -6x) = (-4x + -5) Reorder the terms: -42 + -12 + 6x + 5x + -6x = (-4x + -5) Combine like terms: -42 + -12 = -54 -54 + 6x + 5x + -6x = (-4x + -5) Combine like terms: 6x + 5x = 11x -54 + 11x + -6x = (-4x + -5) Combine like terms: 11x + -6x = 5x -54 + 5x = (-4x + -5) Reorder the terms: -54 + 5x = (-5 + -4x) Remove parenthesis around (-5 + -4x) -54 + 5x = -5 + -4x Solving -54 + 5x = -5 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -54 + 5x + 4x = -5 + -4x + 4x Combine like terms: 5x + 4x = 9x -54 + 9x = -5 + -4x + 4x Combine like terms: -4x + 4x = 0 -54 + 9x = -5 + 0 -54 + 9x = -5 Add '54' to each side of the equation. -54 + 54 + 9x = -5 + 54 Combine like terms: -54 + 54 = 0 0 + 9x = -5 + 54 9x = -5 + 54 Combine like terms: -5 + 54 = 49 9x = 49 Divide each side by '9'. x = 5.444444444 Simplifying x = 5.444444444
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