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Simplifying 12x + 3(x + -19) = 40x + 7 Reorder the terms: 12x + 3(-19 + x) = 40x + 7 12x + (-19 * 3 + x * 3) = 40x + 7 12x + (-57 + 3x) = 40x + 7 Reorder the terms: -57 + 12x + 3x = 40x + 7 Combine like terms: 12x + 3x = 15x -57 + 15x = 40x + 7 Reorder the terms: -57 + 15x = 7 + 40x Solving -57 + 15x = 7 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. -57 + 15x + -40x = 7 + 40x + -40x Combine like terms: 15x + -40x = -25x -57 + -25x = 7 + 40x + -40x Combine like terms: 40x + -40x = 0 -57 + -25x = 7 + 0 -57 + -25x = 7 Add '57' to each side of the equation. -57 + 57 + -25x = 7 + 57 Combine like terms: -57 + 57 = 0 0 + -25x = 7 + 57 -25x = 7 + 57 Combine like terms: 7 + 57 = 64 -25x = 64 Divide each side by '-25'. x = -2.56 Simplifying x = -2.56
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