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Simplifying 5(3x + -2) = -7(6x + 3) Reorder the terms: 5(-2 + 3x) = -7(6x + 3) (-2 * 5 + 3x * 5) = -7(6x + 3) (-10 + 15x) = -7(6x + 3) Reorder the terms: -10 + 15x = -7(3 + 6x) -10 + 15x = (3 * -7 + 6x * -7) -10 + 15x = (-21 + -42x) Solving -10 + 15x = -21 + -42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42x' to each side of the equation. -10 + 15x + 42x = -21 + -42x + 42x Combine like terms: 15x + 42x = 57x -10 + 57x = -21 + -42x + 42x Combine like terms: -42x + 42x = 0 -10 + 57x = -21 + 0 -10 + 57x = -21 Add '10' to each side of the equation. -10 + 10 + 57x = -21 + 10 Combine like terms: -10 + 10 = 0 0 + 57x = -21 + 10 57x = -21 + 10 Combine like terms: -21 + 10 = -11 57x = -11 Divide each side by '57'. x = -0.1929824561 Simplifying x = -0.1929824561
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