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Simplifying 4x + 13 = 3 + 6x + -6 Reorder the terms: 13 + 4x = 3 + 6x + -6 Reorder the terms: 13 + 4x = 3 + -6 + 6x Combine like terms: 3 + -6 = -3 13 + 4x = -3 + 6x Solving 13 + 4x = -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. 13 + 4x + -6x = -3 + 6x + -6x Combine like terms: 4x + -6x = -2x 13 + -2x = -3 + 6x + -6x Combine like terms: 6x + -6x = 0 13 + -2x = -3 + 0 13 + -2x = -3 Add '-13' to each side of the equation. 13 + -13 + -2x = -3 + -13 Combine like terms: 13 + -13 = 0 0 + -2x = -3 + -13 -2x = -3 + -13 Combine like terms: -3 + -13 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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