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Simplifying 4x + -7x + 19 = 3 * 12 + -4(5 * 16) + -5 Reorder the terms: 19 + 4x + -7x = 3 * 12 + -4(5 * 16) + -5 Combine like terms: 4x + -7x = -3x 19 + -3x = 3 * 12 + -4(5 * 16) + -5 Multiply 3 * 12 19 + -3x = 36 + -4(5 * 16) + -5 Multiply 5 * 16 19 + -3x = 36 + -4(80) + -5 Multiply -4 * 80 19 + -3x = 36 + -320 + -5 Combine like terms: 36 + -320 = -284 19 + -3x = -284 + -5 Combine like terms: -284 + -5 = -289 19 + -3x = -289 Solving 19 + -3x = -289 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -3x = -289 + -19 Combine like terms: 19 + -19 = 0 0 + -3x = -289 + -19 -3x = -289 + -19 Combine like terms: -289 + -19 = -308 -3x = -308 Divide each side by '-3'. x = 102.6666667 Simplifying x = 102.6666667
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