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Simplifying -40 = 7(1 + -1x) + 4(3x + -3) -40 = (1 * 7 + -1x * 7) + 4(3x + -3) -40 = (7 + -7x) + 4(3x + -3) Reorder the terms: -40 = 7 + -7x + 4(-3 + 3x) -40 = 7 + -7x + (-3 * 4 + 3x * 4) -40 = 7 + -7x + (-12 + 12x) Reorder the terms: -40 = 7 + -12 + -7x + 12x Combine like terms: 7 + -12 = -5 -40 = -5 + -7x + 12x Combine like terms: -7x + 12x = 5x -40 = -5 + 5x Solving -40 = -5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -40 + -5x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 -40 + -5x = -5 + 0 -40 + -5x = -5 Add '40' to each side of the equation. -40 + 40 + -5x = -5 + 40 Combine like terms: -40 + 40 = 0 0 + -5x = -5 + 40 -5x = -5 + 40 Combine like terms: -5 + 40 = 35 -5x = 35 Divide each side by '-5'. x = -7 Simplifying x = -7
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