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Simplifying 38 + 6x = 3(-1x + 3) + -16 Reorder the terms: 38 + 6x = 3(3 + -1x) + -16 38 + 6x = (3 * 3 + -1x * 3) + -16 38 + 6x = (9 + -3x) + -16 Reorder the terms: 38 + 6x = 9 + -16 + -3x Combine like terms: 9 + -16 = -7 38 + 6x = -7 + -3x Solving 38 + 6x = -7 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 38 + 6x + 3x = -7 + -3x + 3x Combine like terms: 6x + 3x = 9x 38 + 9x = -7 + -3x + 3x Combine like terms: -3x + 3x = 0 38 + 9x = -7 + 0 38 + 9x = -7 Add '-38' to each side of the equation. 38 + -38 + 9x = -7 + -38 Combine like terms: 38 + -38 = 0 0 + 9x = -7 + -38 9x = -7 + -38 Combine like terms: -7 + -38 = -45 9x = -45 Divide each side by '9'. x = -5 Simplifying x = -5
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