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Simplifying 4(x + -4) + 19 = 3(x + 3) Reorder the terms: 4(-4 + x) + 19 = 3(x + 3) (-4 * 4 + x * 4) + 19 = 3(x + 3) (-16 + 4x) + 19 = 3(x + 3) Reorder the terms: -16 + 19 + 4x = 3(x + 3) Combine like terms: -16 + 19 = 3 3 + 4x = 3(x + 3) Reorder the terms: 3 + 4x = 3(3 + x) 3 + 4x = (3 * 3 + x * 3) 3 + 4x = (9 + 3x) Solving 3 + 4x = 9 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 3 + 4x + -3x = 9 + 3x + -3x Combine like terms: 4x + -3x = 1x 3 + 1x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 3 + 1x = 9 + 0 3 + 1x = 9 Add '-3' to each side of the equation. 3 + -3 + 1x = 9 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 9 + -3 1x = 9 + -3 Combine like terms: 9 + -3 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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