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Simplifying x + 13 = 6(x + -2) + 5 Reorder the terms: 13 + x = 6(x + -2) + 5 Reorder the terms: 13 + x = 6(-2 + x) + 5 13 + x = (-2 * 6 + x * 6) + 5 13 + x = (-12 + 6x) + 5 Reorder the terms: 13 + x = -12 + 5 + 6x Combine like terms: -12 + 5 = -7 13 + x = -7 + 6x Solving 13 + x = -7 + 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. 13 + x + -6x = -7 + 6x + -6x Combine like terms: x + -6x = -5x 13 + -5x = -7 + 6x + -6x Combine like terms: 6x + -6x = 0 13 + -5x = -7 + 0 13 + -5x = -7 Add '-13' to each side of the equation. 13 + -13 + -5x = -7 + -13 Combine like terms: 13 + -13 = 0 0 + -5x = -7 + -13 -5x = -7 + -13 Combine like terms: -7 + -13 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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