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Simplifying (x + 4) + -4(3x + -10) = 4(2x + -3) + 6(3x + 1) Reorder the terms: (4 + x) + -4(3x + -10) = 4(2x + -3) + 6(3x + 1) Remove parenthesis around (4 + x) 4 + x + -4(3x + -10) = 4(2x + -3) + 6(3x + 1) Reorder the terms: 4 + x + -4(-10 + 3x) = 4(2x + -3) + 6(3x + 1) 4 + x + (-10 * -4 + 3x * -4) = 4(2x + -3) + 6(3x + 1) 4 + x + (40 + -12x) = 4(2x + -3) + 6(3x + 1) Reorder the terms: 4 + 40 + x + -12x = 4(2x + -3) + 6(3x + 1) Combine like terms: 4 + 40 = 44 44 + x + -12x = 4(2x + -3) + 6(3x + 1) Combine like terms: x + -12x = -11x 44 + -11x = 4(2x + -3) + 6(3x + 1) Reorder the terms: 44 + -11x = 4(-3 + 2x) + 6(3x + 1) 44 + -11x = (-3 * 4 + 2x * 4) + 6(3x + 1) 44 + -11x = (-12 + 8x) + 6(3x + 1) Reorder the terms: 44 + -11x = -12 + 8x + 6(1 + 3x) 44 + -11x = -12 + 8x + (1 * 6 + 3x * 6) 44 + -11x = -12 + 8x + (6 + 18x) Reorder the terms: 44 + -11x = -12 + 6 + 8x + 18x Combine like terms: -12 + 6 = -6 44 + -11x = -6 + 8x + 18x Combine like terms: 8x + 18x = 26x 44 + -11x = -6 + 26x Solving 44 + -11x = -6 + 26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26x' to each side of the equation. 44 + -11x + -26x = -6 + 26x + -26x Combine like terms: -11x + -26x = -37x 44 + -37x = -6 + 26x + -26x Combine like terms: 26x + -26x = 0 44 + -37x = -6 + 0 44 + -37x = -6 Add '-44' to each side of the equation. 44 + -44 + -37x = -6 + -44 Combine like terms: 44 + -44 = 0 0 + -37x = -6 + -44 -37x = -6 + -44 Combine like terms: -6 + -44 = -50 -37x = -50 Divide each side by '-37'. x = 1.351351351 Simplifying x = 1.351351351
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