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Simplifying 10(-3x + 8) + -19 = 7x + 4(2x + 3) Reorder the terms: 10(8 + -3x) + -19 = 7x + 4(2x + 3) (8 * 10 + -3x * 10) + -19 = 7x + 4(2x + 3) (80 + -30x) + -19 = 7x + 4(2x + 3) Reorder the terms: 80 + -19 + -30x = 7x + 4(2x + 3) Combine like terms: 80 + -19 = 61 61 + -30x = 7x + 4(2x + 3) Reorder the terms: 61 + -30x = 7x + 4(3 + 2x) 61 + -30x = 7x + (3 * 4 + 2x * 4) 61 + -30x = 7x + (12 + 8x) Reorder the terms: 61 + -30x = 12 + 7x + 8x Combine like terms: 7x + 8x = 15x 61 + -30x = 12 + 15x Solving 61 + -30x = 12 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 61 + -30x + -15x = 12 + 15x + -15x Combine like terms: -30x + -15x = -45x 61 + -45x = 12 + 15x + -15x Combine like terms: 15x + -15x = 0 61 + -45x = 12 + 0 61 + -45x = 12 Add '-61' to each side of the equation. 61 + -61 + -45x = 12 + -61 Combine like terms: 61 + -61 = 0 0 + -45x = 12 + -61 -45x = 12 + -61 Combine like terms: 12 + -61 = -49 -45x = -49 Divide each side by '-45'. x = 1.088888889 Simplifying x = 1.088888889
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