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Simplifying 5(3x + -4) = 6(x + -7) Reorder the terms: 5(-4 + 3x) = 6(x + -7) (-4 * 5 + 3x * 5) = 6(x + -7) (-20 + 15x) = 6(x + -7) Reorder the terms: -20 + 15x = 6(-7 + x) -20 + 15x = (-7 * 6 + x * 6) -20 + 15x = (-42 + 6x) Solving -20 + 15x = -42 + 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. -20 + 15x + -6x = -42 + 6x + -6x Combine like terms: 15x + -6x = 9x -20 + 9x = -42 + 6x + -6x Combine like terms: 6x + -6x = 0 -20 + 9x = -42 + 0 -20 + 9x = -42 Add '20' to each side of the equation. -20 + 20 + 9x = -42 + 20 Combine like terms: -20 + 20 = 0 0 + 9x = -42 + 20 9x = -42 + 20 Combine like terms: -42 + 20 = -22 9x = -22 Divide each side by '9'. x = -2.444444444 Simplifying x = -2.444444444
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