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Simplifying -5x + 3 + -2(x + -4) = -4(x + 3) + -1 Reorder the terms: -5x + 3 + -2(-4 + x) = -4(x + 3) + -1 -5x + 3 + (-4 * -2 + x * -2) = -4(x + 3) + -1 -5x + 3 + (8 + -2x) = -4(x + 3) + -1 Reorder the terms: 3 + 8 + -5x + -2x = -4(x + 3) + -1 Combine like terms: 3 + 8 = 11 11 + -5x + -2x = -4(x + 3) + -1 Combine like terms: -5x + -2x = -7x 11 + -7x = -4(x + 3) + -1 Reorder the terms: 11 + -7x = -4(3 + x) + -1 11 + -7x = (3 * -4 + x * -4) + -1 11 + -7x = (-12 + -4x) + -1 Reorder the terms: 11 + -7x = -12 + -1 + -4x Combine like terms: -12 + -1 = -13 11 + -7x = -13 + -4x Solving 11 + -7x = -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. 11 + -7x + 4x = -13 + -4x + 4x Combine like terms: -7x + 4x = -3x 11 + -3x = -13 + -4x + 4x Combine like terms: -4x + 4x = 0 11 + -3x = -13 + 0 11 + -3x = -13 Add '-11' to each side of the equation. 11 + -11 + -3x = -13 + -11 Combine like terms: 11 + -11 = 0 0 + -3x = -13 + -11 -3x = -13 + -11 Combine like terms: -13 + -11 = -24 -3x = -24 Divide each side by '-3'. x = 8 Simplifying x = 8
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