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Simplifying 3(5x + -4) + 5 = 4(2x + 3) Reorder the terms: 3(-4 + 5x) + 5 = 4(2x + 3) (-4 * 3 + 5x * 3) + 5 = 4(2x + 3) (-12 + 15x) + 5 = 4(2x + 3) Reorder the terms: -12 + 5 + 15x = 4(2x + 3) Combine like terms: -12 + 5 = -7 -7 + 15x = 4(2x + 3) Reorder the terms: -7 + 15x = 4(3 + 2x) -7 + 15x = (3 * 4 + 2x * 4) -7 + 15x = (12 + 8x) Solving -7 + 15x = 12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -7 + 15x + -8x = 12 + 8x + -8x Combine like terms: 15x + -8x = 7x -7 + 7x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 -7 + 7x = 12 + 0 -7 + 7x = 12 Add '7' to each side of the equation. -7 + 7 + 7x = 12 + 7 Combine like terms: -7 + 7 = 0 0 + 7x = 12 + 7 7x = 12 + 7 Combine like terms: 12 + 7 = 19 7x = 19 Divide each side by '7'. x = 2.714285714 Simplifying x = 2.714285714
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