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Simplifying 4(-2x + -3) + -1 = -45 Reorder the terms: 4(-3 + -2x) + -1 = -45 (-3 * 4 + -2x * 4) + -1 = -45 (-12 + -8x) + -1 = -45 Reorder the terms: -12 + -1 + -8x = -45 Combine like terms: -12 + -1 = -13 -13 + -8x = -45 Solving -13 + -8x = -45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -8x = -45 + 13 Combine like terms: -13 + 13 = 0 0 + -8x = -45 + 13 -8x = -45 + 13 Combine like terms: -45 + 13 = -32 -8x = -32 Divide each side by '-8'. x = 4 Simplifying x = 4
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