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Simplifying 5(7x + -3) = 4(9x + -4) Reorder the terms: 5(-3 + 7x) = 4(9x + -4) (-3 * 5 + 7x * 5) = 4(9x + -4) (-15 + 35x) = 4(9x + -4) Reorder the terms: -15 + 35x = 4(-4 + 9x) -15 + 35x = (-4 * 4 + 9x * 4) -15 + 35x = (-16 + 36x) Solving -15 + 35x = -16 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. -15 + 35x + -36x = -16 + 36x + -36x Combine like terms: 35x + -36x = -1x -15 + -1x = -16 + 36x + -36x Combine like terms: 36x + -36x = 0 -15 + -1x = -16 + 0 -15 + -1x = -16 Add '15' to each side of the equation. -15 + 15 + -1x = -16 + 15 Combine like terms: -15 + 15 = 0 0 + -1x = -16 + 15 -1x = -16 + 15 Combine like terms: -16 + 15 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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