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Simplifying 6(4 + -3x) = 5(3 + -2x) + -4(x + -7) (4 * 6 + -3x * 6) = 5(3 + -2x) + -4(x + -7) (24 + -18x) = 5(3 + -2x) + -4(x + -7) 24 + -18x = (3 * 5 + -2x * 5) + -4(x + -7) 24 + -18x = (15 + -10x) + -4(x + -7) Reorder the terms: 24 + -18x = 15 + -10x + -4(-7 + x) 24 + -18x = 15 + -10x + (-7 * -4 + x * -4) 24 + -18x = 15 + -10x + (28 + -4x) Reorder the terms: 24 + -18x = 15 + 28 + -10x + -4x Combine like terms: 15 + 28 = 43 24 + -18x = 43 + -10x + -4x Combine like terms: -10x + -4x = -14x 24 + -18x = 43 + -14x Solving 24 + -18x = 43 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 24 + -18x + 14x = 43 + -14x + 14x Combine like terms: -18x + 14x = -4x 24 + -4x = 43 + -14x + 14x Combine like terms: -14x + 14x = 0 24 + -4x = 43 + 0 24 + -4x = 43 Add '-24' to each side of the equation. 24 + -24 + -4x = 43 + -24 Combine like terms: 24 + -24 = 0 0 + -4x = 43 + -24 -4x = 43 + -24 Combine like terms: 43 + -24 = 19 -4x = 19 Divide each side by '-4'. x = -4.75 Simplifying x = -4.75
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