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Simplifying 4(2x + -7) + -3(5x + 3) = 14 Reorder the terms: 4(-7 + 2x) + -3(5x + 3) = 14 (-7 * 4 + 2x * 4) + -3(5x + 3) = 14 (-28 + 8x) + -3(5x + 3) = 14 Reorder the terms: -28 + 8x + -3(3 + 5x) = 14 -28 + 8x + (3 * -3 + 5x * -3) = 14 -28 + 8x + (-9 + -15x) = 14 Reorder the terms: -28 + -9 + 8x + -15x = 14 Combine like terms: -28 + -9 = -37 -37 + 8x + -15x = 14 Combine like terms: 8x + -15x = -7x -37 + -7x = 14 Solving -37 + -7x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 37 + -7x = 14 + 37 Combine like terms: -37 + 37 = 0 0 + -7x = 14 + 37 -7x = 14 + 37 Combine like terms: 14 + 37 = 51 -7x = 51 Divide each side by '-7'. x = -7.285714286 Simplifying x = -7.285714286
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