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Simplifying 7(x + -12) + -6 = 17x + -160 Reorder the terms: 7(-12 + x) + -6 = 17x + -160 (-12 * 7 + x * 7) + -6 = 17x + -160 (-84 + 7x) + -6 = 17x + -160 Reorder the terms: -84 + -6 + 7x = 17x + -160 Combine like terms: -84 + -6 = -90 -90 + 7x = 17x + -160 Reorder the terms: -90 + 7x = -160 + 17x Solving -90 + 7x = -160 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -90 + 7x + -17x = -160 + 17x + -17x Combine like terms: 7x + -17x = -10x -90 + -10x = -160 + 17x + -17x Combine like terms: 17x + -17x = 0 -90 + -10x = -160 + 0 -90 + -10x = -160 Add '90' to each side of the equation. -90 + 90 + -10x = -160 + 90 Combine like terms: -90 + 90 = 0 0 + -10x = -160 + 90 -10x = -160 + 90 Combine like terms: -160 + 90 = -70 -10x = -70 Divide each side by '-10'. x = 7 Simplifying x = 7
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