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Simplifying 19 = 3(3x + -4) + -2(4x + 5) Reorder the terms: 19 = 3(-4 + 3x) + -2(4x + 5) 19 = (-4 * 3 + 3x * 3) + -2(4x + 5) 19 = (-12 + 9x) + -2(4x + 5) Reorder the terms: 19 = -12 + 9x + -2(5 + 4x) 19 = -12 + 9x + (5 * -2 + 4x * -2) 19 = -12 + 9x + (-10 + -8x) Reorder the terms: 19 = -12 + -10 + 9x + -8x Combine like terms: -12 + -10 = -22 19 = -22 + 9x + -8x Combine like terms: 9x + -8x = 1x 19 = -22 + 1x Solving 19 = -22 + 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. 19 + -1x = -22 + 1x + -1x Combine like terms: 1x + -1x = 0 19 + -1x = -22 + 0 19 + -1x = -22 Add '-19' to each side of the equation. 19 + -19 + -1x = -22 + -19 Combine like terms: 19 + -19 = 0 0 + -1x = -22 + -19 -1x = -22 + -19 Combine like terms: -22 + -19 = -41 -1x = -41 Divide each side by '-1'. x = 41 Simplifying x = 41
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