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Simplifying 5x + -4(2 + x) + -3 = 4(2x + -8) 5x + (2 * -4 + x * -4) + -3 = 4(2x + -8) 5x + (-8 + -4x) + -3 = 4(2x + -8) Reorder the terms: -8 + -3 + 5x + -4x = 4(2x + -8) Combine like terms: -8 + -3 = -11 -11 + 5x + -4x = 4(2x + -8) Combine like terms: 5x + -4x = 1x -11 + 1x = 4(2x + -8) Reorder the terms: -11 + 1x = 4(-8 + 2x) -11 + 1x = (-8 * 4 + 2x * 4) -11 + 1x = (-32 + 8x) Solving -11 + 1x = -32 + 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. -11 + 1x + -8x = -32 + 8x + -8x Combine like terms: 1x + -8x = -7x -11 + -7x = -32 + 8x + -8x Combine like terms: 8x + -8x = 0 -11 + -7x = -32 + 0 -11 + -7x = -32 Add '11' to each side of the equation. -11 + 11 + -7x = -32 + 11 Combine like terms: -11 + 11 = 0 0 + -7x = -32 + 11 -7x = -32 + 11 Combine like terms: -32 + 11 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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