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Simplifying 6(x + -9) + 4 = 7(x + 2) + -26 Reorder the terms: 6(-9 + x) + 4 = 7(x + 2) + -26 (-9 * 6 + x * 6) + 4 = 7(x + 2) + -26 (-54 + 6x) + 4 = 7(x + 2) + -26 Reorder the terms: -54 + 4 + 6x = 7(x + 2) + -26 Combine like terms: -54 + 4 = -50 -50 + 6x = 7(x + 2) + -26 Reorder the terms: -50 + 6x = 7(2 + x) + -26 -50 + 6x = (2 * 7 + x * 7) + -26 -50 + 6x = (14 + 7x) + -26 Reorder the terms: -50 + 6x = 14 + -26 + 7x Combine like terms: 14 + -26 = -12 -50 + 6x = -12 + 7x Solving -50 + 6x = -12 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -50 + 6x + -7x = -12 + 7x + -7x Combine like terms: 6x + -7x = -1x -50 + -1x = -12 + 7x + -7x Combine like terms: 7x + -7x = 0 -50 + -1x = -12 + 0 -50 + -1x = -12 Add '50' to each side of the equation. -50 + 50 + -1x = -12 + 50 Combine like terms: -50 + 50 = 0 0 + -1x = -12 + 50 -1x = -12 + 50 Combine like terms: -12 + 50 = 38 -1x = 38 Divide each side by '-1'. x = -38 Simplifying x = -38
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