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Simplifying -4(x + 3) + -7 = 4x + 13 Reorder the terms: -4(3 + x) + -7 = 4x + 13 (3 * -4 + x * -4) + -7 = 4x + 13 (-12 + -4x) + -7 = 4x + 13 Reorder the terms: -12 + -7 + -4x = 4x + 13 Combine like terms: -12 + -7 = -19 -19 + -4x = 4x + 13 Reorder the terms: -19 + -4x = 13 + 4x Solving -19 + -4x = 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 + -4x + -4x = 13 + 4x + -4x Combine like terms: -4x + -4x = -8x -19 + -8x = 13 + 4x + -4x Combine like terms: 4x + -4x = 0 -19 + -8x = 13 + 0 -19 + -8x = 13 Add '19' to each side of the equation. -19 + 19 + -8x = 13 + 19 Combine like terms: -19 + 19 = 0 0 + -8x = 13 + 19 -8x = 13 + 19 Combine like terms: 13 + 19 = 32 -8x = 32 Divide each side by '-8'. x = -4 Simplifying x = -4
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