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Simplifying -38 + -7x = 4 + 3(3 + -8x) -38 + -7x = 4 + (3 * 3 + -8x * 3) -38 + -7x = 4 + (9 + -24x) Combine like terms: 4 + 9 = 13 -38 + -7x = 13 + -24x Solving -38 + -7x = 13 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -38 + -7x + 24x = 13 + -24x + 24x Combine like terms: -7x + 24x = 17x -38 + 17x = 13 + -24x + 24x Combine like terms: -24x + 24x = 0 -38 + 17x = 13 + 0 -38 + 17x = 13 Add '38' to each side of the equation. -38 + 38 + 17x = 13 + 38 Combine like terms: -38 + 38 = 0 0 + 17x = 13 + 38 17x = 13 + 38 Combine like terms: 13 + 38 = 51 17x = 51 Divide each side by '17'. x = 3 Simplifying x = 3
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