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Simplifying -9(x + -7) + -2(2x + 1) = -4 Reorder the terms: -9(-7 + x) + -2(2x + 1) = -4 (-7 * -9 + x * -9) + -2(2x + 1) = -4 (63 + -9x) + -2(2x + 1) = -4 Reorder the terms: 63 + -9x + -2(1 + 2x) = -4 63 + -9x + (1 * -2 + 2x * -2) = -4 63 + -9x + (-2 + -4x) = -4 Reorder the terms: 63 + -2 + -9x + -4x = -4 Combine like terms: 63 + -2 = 61 61 + -9x + -4x = -4 Combine like terms: -9x + -4x = -13x 61 + -13x = -4 Solving 61 + -13x = -4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-61' to each side of the equation. 61 + -61 + -13x = -4 + -61 Combine like terms: 61 + -61 = 0 0 + -13x = -4 + -61 -13x = -4 + -61 Combine like terms: -4 + -61 = -65 -13x = -65 Divide each side by '-13'. x = 5 Simplifying x = 5
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