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Simplifying 7(x + -8) + 18 = 6x + -3 Reorder the terms: 7(-8 + x) + 18 = 6x + -3 (-8 * 7 + x * 7) + 18 = 6x + -3 (-56 + 7x) + 18 = 6x + -3 Reorder the terms: -56 + 18 + 7x = 6x + -3 Combine like terms: -56 + 18 = -38 -38 + 7x = 6x + -3 Reorder the terms: -38 + 7x = -3 + 6x Solving -38 + 7x = -3 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -38 + 7x + -6x = -3 + 6x + -6x Combine like terms: 7x + -6x = 1x -38 + 1x = -3 + 6x + -6x Combine like terms: 6x + -6x = 0 -38 + 1x = -3 + 0 -38 + 1x = -3 Add '38' to each side of the equation. -38 + 38 + 1x = -3 + 38 Combine like terms: -38 + 38 = 0 0 + 1x = -3 + 38 1x = -3 + 38 Combine like terms: -3 + 38 = 35 1x = 35 Divide each side by '1'. x = 35 Simplifying x = 35
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