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Simplifying 4(7x + -9) + -7(4x + 3) = 6(9x + -10) Reorder the terms: 4(-9 + 7x) + -7(4x + 3) = 6(9x + -10) (-9 * 4 + 7x * 4) + -7(4x + 3) = 6(9x + -10) (-36 + 28x) + -7(4x + 3) = 6(9x + -10) Reorder the terms: -36 + 28x + -7(3 + 4x) = 6(9x + -10) -36 + 28x + (3 * -7 + 4x * -7) = 6(9x + -10) -36 + 28x + (-21 + -28x) = 6(9x + -10) Reorder the terms: -36 + -21 + 28x + -28x = 6(9x + -10) Combine like terms: -36 + -21 = -57 -57 + 28x + -28x = 6(9x + -10) Combine like terms: 28x + -28x = 0 -57 + 0 = 6(9x + -10) -57 = 6(9x + -10) Reorder the terms: -57 = 6(-10 + 9x) -57 = (-10 * 6 + 9x * 6) -57 = (-60 + 54x) Solving -57 = -60 + 54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54x' to each side of the equation. -57 + -54x = -60 + 54x + -54x Combine like terms: 54x + -54x = 0 -57 + -54x = -60 + 0 -57 + -54x = -60 Add '57' to each side of the equation. -57 + 57 + -54x = -60 + 57 Combine like terms: -57 + 57 = 0 0 + -54x = -60 + 57 -54x = -60 + 57 Combine like terms: -60 + 57 = -3 -54x = -3 Divide each side by '-54'. x = 0.05555555556 Simplifying x = 0.05555555556
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