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Simplifying 5(2X + 3) + -1(x + -4) + 1 + -2x = -50 Reorder the terms: 5(3 + 2X) + -1(x + -4) + 1 + -2x = -50 (3 * 5 + 2X * 5) + -1(x + -4) + 1 + -2x = -50 (15 + 10X) + -1(x + -4) + 1 + -2x = -50 Reorder the terms: 15 + 10X + -1(-4 + x) + 1 + -2x = -50 15 + 10X + (-4 * -1 + x * -1) + 1 + -2x = -50 15 + 10X + (4 + -1x) + 1 + -2x = -50 Reorder the terms: 15 + 4 + 1 + 10X + -1x + -2x = -50 Combine like terms: 15 + 4 = 19 19 + 1 + 10X + -1x + -2x = -50 Combine like terms: 19 + 1 = 20 20 + 10X + -1x + -2x = -50 Combine like terms: -1x + -2x = -3x 20 + 10X + -3x = -50 Solving 20 + 10X + -3x = -50 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + 10X + -20 + -3x = -50 + -20 Reorder the terms: 20 + -20 + 10X + -3x = -50 + -20 Combine like terms: 20 + -20 = 0 0 + 10X + -3x = -50 + -20 10X + -3x = -50 + -20 Combine like terms: -50 + -20 = -70 10X + -3x = -70 Add '3x' to each side of the equation. 10X + -3x + 3x = -70 + 3x Combine like terms: -3x + 3x = 0 10X + 0 = -70 + 3x 10X = -70 + 3x Divide each side by '10'. X = -7 + 0.3x Simplifying X = -7 + 0.3x
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