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Simplifying 6x + 3 + 6x + 10 + -4 = 15x + 4 + x + 2 + 1 Reorder the terms: 3 + 10 + -4 + 6x + 6x = 15x + 4 + x + 2 + 1 Combine like terms: 3 + 10 = 13 13 + -4 + 6x + 6x = 15x + 4 + x + 2 + 1 Combine like terms: 13 + -4 = 9 9 + 6x + 6x = 15x + 4 + x + 2 + 1 Combine like terms: 6x + 6x = 12x 9 + 12x = 15x + 4 + x + 2 + 1 Reorder the terms: 9 + 12x = 4 + 2 + 1 + 15x + x Combine like terms: 4 + 2 = 6 9 + 12x = 6 + 1 + 15x + x Combine like terms: 6 + 1 = 7 9 + 12x = 7 + 15x + x Combine like terms: 15x + x = 16x 9 + 12x = 7 + 16x Solving 9 + 12x = 7 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 9 + 12x + -16x = 7 + 16x + -16x Combine like terms: 12x + -16x = -4x 9 + -4x = 7 + 16x + -16x Combine like terms: 16x + -16x = 0 9 + -4x = 7 + 0 9 + -4x = 7 Add '-9' to each side of the equation. 9 + -9 + -4x = 7 + -9 Combine like terms: 9 + -9 = 0 0 + -4x = 7 + -9 -4x = 7 + -9 Combine like terms: 7 + -9 = -2 -4x = -2 Divide each side by '-4'. x = 0.5 Simplifying x = 0.5
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