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Simplifying 5(4x + -3) = 7(8x + -6) Reorder the terms: 5(-3 + 4x) = 7(8x + -6) (-3 * 5 + 4x * 5) = 7(8x + -6) (-15 + 20x) = 7(8x + -6) Reorder the terms: -15 + 20x = 7(-6 + 8x) -15 + 20x = (-6 * 7 + 8x * 7) -15 + 20x = (-42 + 56x) Solving -15 + 20x = -42 + 56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56x' to each side of the equation. -15 + 20x + -56x = -42 + 56x + -56x Combine like terms: 20x + -56x = -36x -15 + -36x = -42 + 56x + -56x Combine like terms: 56x + -56x = 0 -15 + -36x = -42 + 0 -15 + -36x = -42 Add '15' to each side of the equation. -15 + 15 + -36x = -42 + 15 Combine like terms: -15 + 15 = 0 0 + -36x = -42 + 15 -36x = -42 + 15 Combine like terms: -42 + 15 = -27 -36x = -27 Divide each side by '-36'. x = 0.75 Simplifying x = 0.75
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