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Simplifying -7(4x + -3) + -5(4 + -3x) = -1x + -7 Reorder the terms: -7(-3 + 4x) + -5(4 + -3x) = -1x + -7 (-3 * -7 + 4x * -7) + -5(4 + -3x) = -1x + -7 (21 + -28x) + -5(4 + -3x) = -1x + -7 21 + -28x + (4 * -5 + -3x * -5) = -1x + -7 21 + -28x + (-20 + 15x) = -1x + -7 Reorder the terms: 21 + -20 + -28x + 15x = -1x + -7 Combine like terms: 21 + -20 = 1 1 + -28x + 15x = -1x + -7 Combine like terms: -28x + 15x = -13x 1 + -13x = -1x + -7 Reorder the terms: 1 + -13x = -7 + -1x Solving 1 + -13x = -7 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 1 + -13x + x = -7 + -1x + x Combine like terms: -13x + x = -12x 1 + -12x = -7 + -1x + x Combine like terms: -1x + x = 0 1 + -12x = -7 + 0 1 + -12x = -7 Add '-1' to each side of the equation. 1 + -1 + -12x = -7 + -1 Combine like terms: 1 + -1 = 0 0 + -12x = -7 + -1 -12x = -7 + -1 Combine like terms: -7 + -1 = -8 -12x = -8 Divide each side by '-12'. x = 0.6666666667 Simplifying x = 0.6666666667
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