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Simplifying 4(2x + -7) = 5 + -3(3x + -2) Reorder the terms: 4(-7 + 2x) = 5 + -3(3x + -2) (-7 * 4 + 2x * 4) = 5 + -3(3x + -2) (-28 + 8x) = 5 + -3(3x + -2) Reorder the terms: -28 + 8x = 5 + -3(-2 + 3x) -28 + 8x = 5 + (-2 * -3 + 3x * -3) -28 + 8x = 5 + (6 + -9x) Combine like terms: 5 + 6 = 11 -28 + 8x = 11 + -9x Solving -28 + 8x = 11 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -28 + 8x + 9x = 11 + -9x + 9x Combine like terms: 8x + 9x = 17x -28 + 17x = 11 + -9x + 9x Combine like terms: -9x + 9x = 0 -28 + 17x = 11 + 0 -28 + 17x = 11 Add '28' to each side of the equation. -28 + 28 + 17x = 11 + 28 Combine like terms: -28 + 28 = 0 0 + 17x = 11 + 28 17x = 11 + 28 Combine like terms: 11 + 28 = 39 17x = 39 Divide each side by '17'. x = 2.294117647 Simplifying x = 2.294117647
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