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Simplifying -4(x + -4) + 5 = 6(x + 4) + 1 Reorder the terms: -4(-4 + x) + 5 = 6(x + 4) + 1 (-4 * -4 + x * -4) + 5 = 6(x + 4) + 1 (16 + -4x) + 5 = 6(x + 4) + 1 Reorder the terms: 16 + 5 + -4x = 6(x + 4) + 1 Combine like terms: 16 + 5 = 21 21 + -4x = 6(x + 4) + 1 Reorder the terms: 21 + -4x = 6(4 + x) + 1 21 + -4x = (4 * 6 + x * 6) + 1 21 + -4x = (24 + 6x) + 1 Reorder the terms: 21 + -4x = 24 + 1 + 6x Combine like terms: 24 + 1 = 25 21 + -4x = 25 + 6x Solving 21 + -4x = 25 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 21 + -4x + -6x = 25 + 6x + -6x Combine like terms: -4x + -6x = -10x 21 + -10x = 25 + 6x + -6x Combine like terms: 6x + -6x = 0 21 + -10x = 25 + 0 21 + -10x = 25 Add '-21' to each side of the equation. 21 + -21 + -10x = 25 + -21 Combine like terms: 21 + -21 = 0 0 + -10x = 25 + -21 -10x = 25 + -21 Combine like terms: 25 + -21 = 4 -10x = 4 Divide each side by '-10'. x = -0.4 Simplifying x = -0.4
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