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Simplifying 19x + -10 = 3(4x + -3) + 7 + -1 Reorder the terms: -10 + 19x = 3(4x + -3) + 7 + -1 Reorder the terms: -10 + 19x = 3(-3 + 4x) + 7 + -1 -10 + 19x = (-3 * 3 + 4x * 3) + 7 + -1 -10 + 19x = (-9 + 12x) + 7 + -1 Reorder the terms: -10 + 19x = -9 + 7 + -1 + 12x Combine like terms: -9 + 7 = -2 -10 + 19x = -2 + -1 + 12x Combine like terms: -2 + -1 = -3 -10 + 19x = -3 + 12x Solving -10 + 19x = -3 + 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. -10 + 19x + -12x = -3 + 12x + -12x Combine like terms: 19x + -12x = 7x -10 + 7x = -3 + 12x + -12x Combine like terms: 12x + -12x = 0 -10 + 7x = -3 + 0 -10 + 7x = -3 Add '10' to each side of the equation. -10 + 10 + 7x = -3 + 10 Combine like terms: -10 + 10 = 0 0 + 7x = -3 + 10 7x = -3 + 10 Combine like terms: -3 + 10 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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