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Simplifying 4(2x + -3) + -5x = 4(x + 4) Reorder the terms: 4(-3 + 2x) + -5x = 4(x + 4) (-3 * 4 + 2x * 4) + -5x = 4(x + 4) (-12 + 8x) + -5x = 4(x + 4) Combine like terms: 8x + -5x = 3x -12 + 3x = 4(x + 4) Reorder the terms: -12 + 3x = 4(4 + x) -12 + 3x = (4 * 4 + x * 4) -12 + 3x = (16 + 4x) Solving -12 + 3x = 16 + 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. -12 + 3x + -4x = 16 + 4x + -4x Combine like terms: 3x + -4x = -1x -12 + -1x = 16 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + -1x = 16 + 0 -12 + -1x = 16 Add '12' to each side of the equation. -12 + 12 + -1x = 16 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = 16 + 12 -1x = 16 + 12 Combine like terms: 16 + 12 = 28 -1x = 28 Divide each side by '-1'. x = -28 Simplifying x = -28
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