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Simplifying -4(x + 3) + 4 = 6(x + 4) + 1 Reorder the terms: -4(3 + x) + 4 = 6(x + 4) + 1 (3 * -4 + x * -4) + 4 = 6(x + 4) + 1 (-12 + -4x) + 4 = 6(x + 4) + 1 Reorder the terms: -12 + 4 + -4x = 6(x + 4) + 1 Combine like terms: -12 + 4 = -8 -8 + -4x = 6(x + 4) + 1 Reorder the terms: -8 + -4x = 6(4 + x) + 1 -8 + -4x = (4 * 6 + x * 6) + 1 -8 + -4x = (24 + 6x) + 1 Reorder the terms: -8 + -4x = 24 + 1 + 6x Combine like terms: 24 + 1 = 25 -8 + -4x = 25 + 6x Solving -8 + -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. -8 + -4x + -6x = 25 + 6x + -6x Combine like terms: -4x + -6x = -10x -8 + -10x = 25 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + -10x = 25 + 0 -8 + -10x = 25 Add '8' to each side of the equation. -8 + 8 + -10x = 25 + 8 Combine like terms: -8 + 8 = 0 0 + -10x = 25 + 8 -10x = 25 + 8 Combine like terms: 25 + 8 = 33 -10x = 33 Divide each side by '-10'. x = -3.3 Simplifying x = -3.3
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