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Simplifying 4X + -7 = 2(X + 5) + -3(2X + 4) Reorder the terms: -7 + 4X = 2(X + 5) + -3(2X + 4) Reorder the terms: -7 + 4X = 2(5 + X) + -3(2X + 4) -7 + 4X = (5 * 2 + X * 2) + -3(2X + 4) -7 + 4X = (10 + 2X) + -3(2X + 4) Reorder the terms: -7 + 4X = 10 + 2X + -3(4 + 2X) -7 + 4X = 10 + 2X + (4 * -3 + 2X * -3) -7 + 4X = 10 + 2X + (-12 + -6X) Reorder the terms: -7 + 4X = 10 + -12 + 2X + -6X Combine like terms: 10 + -12 = -2 -7 + 4X = -2 + 2X + -6X Combine like terms: 2X + -6X = -4X -7 + 4X = -2 + -4X Solving -7 + 4X = -2 + -4X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '4X' to each side of the equation. -7 + 4X + 4X = -2 + -4X + 4X Combine like terms: 4X + 4X = 8X -7 + 8X = -2 + -4X + 4X Combine like terms: -4X + 4X = 0 -7 + 8X = -2 + 0 -7 + 8X = -2 Add '7' to each side of the equation. -7 + 7 + 8X = -2 + 7 Combine like terms: -7 + 7 = 0 0 + 8X = -2 + 7 8X = -2 + 7 Combine like terms: -2 + 7 = 5 8X = 5 Divide each side by '8'. X = 0.625 Simplifying X = 0.625
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