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Simplifying 6(4x + -3) = 7(x + -3) + -5 Reorder the terms: 6(-3 + 4x) = 7(x + -3) + -5 (-3 * 6 + 4x * 6) = 7(x + -3) + -5 (-18 + 24x) = 7(x + -3) + -5 Reorder the terms: -18 + 24x = 7(-3 + x) + -5 -18 + 24x = (-3 * 7 + x * 7) + -5 -18 + 24x = (-21 + 7x) + -5 Reorder the terms: -18 + 24x = -21 + -5 + 7x Combine like terms: -21 + -5 = -26 -18 + 24x = -26 + 7x Solving -18 + 24x = -26 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -18 + 24x + -7x = -26 + 7x + -7x Combine like terms: 24x + -7x = 17x -18 + 17x = -26 + 7x + -7x Combine like terms: 7x + -7x = 0 -18 + 17x = -26 + 0 -18 + 17x = -26 Add '18' to each side of the equation. -18 + 18 + 17x = -26 + 18 Combine like terms: -18 + 18 = 0 0 + 17x = -26 + 18 17x = -26 + 18 Combine like terms: -26 + 18 = -8 17x = -8 Divide each side by '17'. x = -0.4705882353 Simplifying x = -0.4705882353
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