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Simplifying 2x + -3 = 4(x + -8) + -6 Reorder the terms: -3 + 2x = 4(x + -8) + -6 Reorder the terms: -3 + 2x = 4(-8 + x) + -6 -3 + 2x = (-8 * 4 + x * 4) + -6 -3 + 2x = (-32 + 4x) + -6 Reorder the terms: -3 + 2x = -32 + -6 + 4x Combine like terms: -32 + -6 = -38 -3 + 2x = -38 + 4x Solving -3 + 2x = -38 + 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. -3 + 2x + -4x = -38 + 4x + -4x Combine like terms: 2x + -4x = -2x -3 + -2x = -38 + 4x + -4x Combine like terms: 4x + -4x = 0 -3 + -2x = -38 + 0 -3 + -2x = -38 Add '3' to each side of the equation. -3 + 3 + -2x = -38 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = -38 + 3 -2x = -38 + 3 Combine like terms: -38 + 3 = -35 -2x = -35 Divide each side by '-2'. x = 17.5 Simplifying x = 17.5
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