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Simplifying 10 + 3x = -8 + 6(x + -5) Reorder the terms: 10 + 3x = -8 + 6(-5 + x) 10 + 3x = -8 + (-5 * 6 + x * 6) 10 + 3x = -8 + (-30 + 6x) Combine like terms: -8 + -30 = -38 10 + 3x = -38 + 6x Solving 10 + 3x = -38 + 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. 10 + 3x + -6x = -38 + 6x + -6x Combine like terms: 3x + -6x = -3x 10 + -3x = -38 + 6x + -6x Combine like terms: 6x + -6x = 0 10 + -3x = -38 + 0 10 + -3x = -38 Add '-10' to each side of the equation. 10 + -10 + -3x = -38 + -10 Combine like terms: 10 + -10 = 0 0 + -3x = -38 + -10 -3x = -38 + -10 Combine like terms: -38 + -10 = -48 -3x = -48 Divide each side by '-3'. x = 16 Simplifying x = 16
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