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Simplifying 4x + -7 = 2(x + 5) + -3(2x + 7) Reorder the terms: -7 + 4x = 2(x + 5) + -3(2x + 7) Reorder the terms: -7 + 4x = 2(5 + x) + -3(2x + 7) -7 + 4x = (5 * 2 + x * 2) + -3(2x + 7) -7 + 4x = (10 + 2x) + -3(2x + 7) Reorder the terms: -7 + 4x = 10 + 2x + -3(7 + 2x) -7 + 4x = 10 + 2x + (7 * -3 + 2x * -3) -7 + 4x = 10 + 2x + (-21 + -6x) Reorder the terms: -7 + 4x = 10 + -21 + 2x + -6x Combine like terms: 10 + -21 = -11 -7 + 4x = -11 + 2x + -6x Combine like terms: 2x + -6x = -4x -7 + 4x = -11 + -4x Solving -7 + 4x = -11 + -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 = -11 + -4x + 4x Combine like terms: 4x + 4x = 8x -7 + 8x = -11 + -4x + 4x Combine like terms: -4x + 4x = 0 -7 + 8x = -11 + 0 -7 + 8x = -11 Add '7' to each side of the equation. -7 + 7 + 8x = -11 + 7 Combine like terms: -7 + 7 = 0 0 + 8x = -11 + 7 8x = -11 + 7 Combine like terms: -11 + 7 = -4 8x = -4 Divide each side by '8'. x = -0.5 Simplifying x = -0.5
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