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Simplifying 7(6x + -7) + -7(3 + -9x) + 4(-10x + -3) = -5(5 + -5x) Reorder the terms: 7(-7 + 6x) + -7(3 + -9x) + 4(-10x + -3) = -5(5 + -5x) (-7 * 7 + 6x * 7) + -7(3 + -9x) + 4(-10x + -3) = -5(5 + -5x) (-49 + 42x) + -7(3 + -9x) + 4(-10x + -3) = -5(5 + -5x) -49 + 42x + (3 * -7 + -9x * -7) + 4(-10x + -3) = -5(5 + -5x) -49 + 42x + (-21 + 63x) + 4(-10x + -3) = -5(5 + -5x) Reorder the terms: -49 + 42x + -21 + 63x + 4(-3 + -10x) = -5(5 + -5x) -49 + 42x + -21 + 63x + (-3 * 4 + -10x * 4) = -5(5 + -5x) -49 + 42x + -21 + 63x + (-12 + -40x) = -5(5 + -5x) Reorder the terms: -49 + -21 + -12 + 42x + 63x + -40x = -5(5 + -5x) Combine like terms: -49 + -21 = -70 -70 + -12 + 42x + 63x + -40x = -5(5 + -5x) Combine like terms: -70 + -12 = -82 -82 + 42x + 63x + -40x = -5(5 + -5x) Combine like terms: 42x + 63x = 105x -82 + 105x + -40x = -5(5 + -5x) Combine like terms: 105x + -40x = 65x -82 + 65x = -5(5 + -5x) -82 + 65x = (5 * -5 + -5x * -5) -82 + 65x = (-25 + 25x) Solving -82 + 65x = -25 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. -82 + 65x + -25x = -25 + 25x + -25x Combine like terms: 65x + -25x = 40x -82 + 40x = -25 + 25x + -25x Combine like terms: 25x + -25x = 0 -82 + 40x = -25 + 0 -82 + 40x = -25 Add '82' to each side of the equation. -82 + 82 + 40x = -25 + 82 Combine like terms: -82 + 82 = 0 0 + 40x = -25 + 82 40x = -25 + 82 Combine like terms: -25 + 82 = 57 40x = 57 Divide each side by '40'. x = 1.425 Simplifying x = 1.425
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