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Simplifying -8x + 4(x + -3) = 2(x + 2) + 5 Reorder the terms: -8x + 4(-3 + x) = 2(x + 2) + 5 -8x + (-3 * 4 + x * 4) = 2(x + 2) + 5 -8x + (-12 + 4x) = 2(x + 2) + 5 Reorder the terms: -12 + -8x + 4x = 2(x + 2) + 5 Combine like terms: -8x + 4x = -4x -12 + -4x = 2(x + 2) + 5 Reorder the terms: -12 + -4x = 2(2 + x) + 5 -12 + -4x = (2 * 2 + x * 2) + 5 -12 + -4x = (4 + 2x) + 5 Reorder the terms: -12 + -4x = 4 + 5 + 2x Combine like terms: 4 + 5 = 9 -12 + -4x = 9 + 2x Solving -12 + -4x = 9 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -12 + -4x + -2x = 9 + 2x + -2x Combine like terms: -4x + -2x = -6x -12 + -6x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + -6x = 9 + 0 -12 + -6x = 9 Add '12' to each side of the equation. -12 + 12 + -6x = 9 + 12 Combine like terms: -12 + 12 = 0 0 + -6x = 9 + 12 -6x = 9 + 12 Combine like terms: 9 + 12 = 21 -6x = 21 Divide each side by '-6'. x = -3.5 Simplifying x = -3.5
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