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Simplifying 7x + 19 + -3x + 2y + -12 = 3x + 4y + -2x + 11 + -2y + 20 Reorder the terms: 19 + -12 + 7x + -3x + 2y = 3x + 4y + -2x + 11 + -2y + 20 Combine like terms: 19 + -12 = 7 7 + 7x + -3x + 2y = 3x + 4y + -2x + 11 + -2y + 20 Combine like terms: 7x + -3x = 4x 7 + 4x + 2y = 3x + 4y + -2x + 11 + -2y + 20 Reorder the terms: 7 + 4x + 2y = 11 + 20 + 3x + -2x + 4y + -2y Combine like terms: 11 + 20 = 31 7 + 4x + 2y = 31 + 3x + -2x + 4y + -2y Combine like terms: 3x + -2x = 1x 7 + 4x + 2y = 31 + 1x + 4y + -2y Combine like terms: 4y + -2y = 2y 7 + 4x + 2y = 31 + 1x + 2y Add '-2y' to each side of the equation. 7 + 4x + 2y + -2y = 31 + 1x + 2y + -2y Combine like terms: 2y + -2y = 0 7 + 4x + 0 = 31 + 1x + 2y + -2y 7 + 4x = 31 + 1x + 2y + -2y Combine like terms: 2y + -2y = 0 7 + 4x = 31 + 1x + 0 7 + 4x = 31 + 1x Solving 7 + 4x = 31 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 7 + 4x + -1x = 31 + 1x + -1x Combine like terms: 4x + -1x = 3x 7 + 3x = 31 + 1x + -1x Combine like terms: 1x + -1x = 0 7 + 3x = 31 + 0 7 + 3x = 31 Add '-7' to each side of the equation. 7 + -7 + 3x = 31 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = 31 + -7 3x = 31 + -7 Combine like terms: 31 + -7 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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