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Simplifying 3(3x + 4) + -12(19y + -8y) = -38 Reorder the terms: 3(4 + 3x) + -12(19y + -8y) = -38 (4 * 3 + 3x * 3) + -12(19y + -8y) = -38 (12 + 9x) + -12(19y + -8y) = -38 Combine like terms: 19y + -8y = 11y 12 + 9x + -12(11y) = -38 Remove parenthesis around (11y) 12 + 9x + -12 * 11y = -38 Multiply -12 * 11 12 + 9x + -132y = -38 Solving 12 + 9x + -132y = -38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 9x + -12 + -132y = -38 + -12 Reorder the terms: 12 + -12 + 9x + -132y = -38 + -12 Combine like terms: 12 + -12 = 0 0 + 9x + -132y = -38 + -12 9x + -132y = -38 + -12 Combine like terms: -38 + -12 = -50 9x + -132y = -50 Add '132y' to each side of the equation. 9x + -132y + 132y = -50 + 132y Combine like terms: -132y + 132y = 0 9x + 0 = -50 + 132y 9x = -50 + 132y Divide each side by '9'. x = -5.555555556 + 14.66666667y Simplifying x = -5.555555556 + 14.66666667y
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