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Simplifying 4x + 13 + -6x = 15 + -18x + 16 + -2 Reorder the terms: 13 + 4x + -6x = 15 + -18x + 16 + -2 Combine like terms: 4x + -6x = -2x 13 + -2x = 15 + -18x + 16 + -2 Reorder the terms: 13 + -2x = 15 + 16 + -2 + -18x Combine like terms: 15 + 16 = 31 13 + -2x = 31 + -2 + -18x Combine like terms: 31 + -2 = 29 13 + -2x = 29 + -18x Solving 13 + -2x = 29 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 13 + -2x + 18x = 29 + -18x + 18x Combine like terms: -2x + 18x = 16x 13 + 16x = 29 + -18x + 18x Combine like terms: -18x + 18x = 0 13 + 16x = 29 + 0 13 + 16x = 29 Add '-13' to each side of the equation. 13 + -13 + 16x = 29 + -13 Combine like terms: 13 + -13 = 0 0 + 16x = 29 + -13 16x = 29 + -13 Combine like terms: 29 + -13 = 16 16x = 16 Divide each side by '16'. x = 1 Simplifying x = 1
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