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Simplifying 10x + 1 = 3(4x + -3) Reorder the terms: 1 + 10x = 3(4x + -3) Reorder the terms: 1 + 10x = 3(-3 + 4x) 1 + 10x = (-3 * 3 + 4x * 3) 1 + 10x = (-9 + 12x) Solving 1 + 10x = -9 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 1 + 10x + -12x = -9 + 12x + -12x Combine like terms: 10x + -12x = -2x 1 + -2x = -9 + 12x + -12x Combine like terms: 12x + -12x = 0 1 + -2x = -9 + 0 1 + -2x = -9 Add '-1' to each side of the equation. 1 + -1 + -2x = -9 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = -9 + -1 -2x = -9 + -1 Combine like terms: -9 + -1 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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