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Simplifying 4(2x + -4) + -3 = 4(x + -2) + 21 Reorder the terms: 4(-4 + 2x) + -3 = 4(x + -2) + 21 (-4 * 4 + 2x * 4) + -3 = 4(x + -2) + 21 (-16 + 8x) + -3 = 4(x + -2) + 21 Reorder the terms: -16 + -3 + 8x = 4(x + -2) + 21 Combine like terms: -16 + -3 = -19 -19 + 8x = 4(x + -2) + 21 Reorder the terms: -19 + 8x = 4(-2 + x) + 21 -19 + 8x = (-2 * 4 + x * 4) + 21 -19 + 8x = (-8 + 4x) + 21 Reorder the terms: -19 + 8x = -8 + 21 + 4x Combine like terms: -8 + 21 = 13 -19 + 8x = 13 + 4x Solving -19 + 8x = 13 + 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. -19 + 8x + -4x = 13 + 4x + -4x Combine like terms: 8x + -4x = 4x -19 + 4x = 13 + 4x + -4x Combine like terms: 4x + -4x = 0 -19 + 4x = 13 + 0 -19 + 4x = 13 Add '19' to each side of the equation. -19 + 19 + 4x = 13 + 19 Combine like terms: -19 + 19 = 0 0 + 4x = 13 + 19 4x = 13 + 19 Combine like terms: 13 + 19 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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