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Simplifying 21 + -7x = -4(6x + 4) + -4(-5 + -4x) Reorder the terms: 21 + -7x = -4(4 + 6x) + -4(-5 + -4x) 21 + -7x = (4 * -4 + 6x * -4) + -4(-5 + -4x) 21 + -7x = (-16 + -24x) + -4(-5 + -4x) 21 + -7x = -16 + -24x + (-5 * -4 + -4x * -4) 21 + -7x = -16 + -24x + (20 + 16x) Reorder the terms: 21 + -7x = -16 + 20 + -24x + 16x Combine like terms: -16 + 20 = 4 21 + -7x = 4 + -24x + 16x Combine like terms: -24x + 16x = -8x 21 + -7x = 4 + -8x Solving 21 + -7x = 4 + -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. 21 + -7x + 8x = 4 + -8x + 8x Combine like terms: -7x + 8x = 1x 21 + 1x = 4 + -8x + 8x Combine like terms: -8x + 8x = 0 21 + 1x = 4 + 0 21 + 1x = 4 Add '-21' to each side of the equation. 21 + -21 + 1x = 4 + -21 Combine like terms: 21 + -21 = 0 0 + 1x = 4 + -21 1x = 4 + -21 Combine like terms: 4 + -21 = -17 1x = -17 Divide each side by '1'. x = -17 Simplifying x = -17
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