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Simplifying 0.5(-8x + 4) + -4(x + 5) = 7(x + -3) Reorder the terms: 0.5(4 + -8x) + -4(x + 5) = 7(x + -3) (4 * 0.5 + -8x * 0.5) + -4(x + 5) = 7(x + -3) (2 + -4x) + -4(x + 5) = 7(x + -3) Reorder the terms: 2 + -4x + -4(5 + x) = 7(x + -3) 2 + -4x + (5 * -4 + x * -4) = 7(x + -3) 2 + -4x + (-20 + -4x) = 7(x + -3) Reorder the terms: 2 + -20 + -4x + -4x = 7(x + -3) Combine like terms: 2 + -20 = -18 -18 + -4x + -4x = 7(x + -3) Combine like terms: -4x + -4x = -8x -18 + -8x = 7(x + -3) Reorder the terms: -18 + -8x = 7(-3 + x) -18 + -8x = (-3 * 7 + x * 7) -18 + -8x = (-21 + 7x) Solving -18 + -8x = -21 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -18 + -8x + -7x = -21 + 7x + -7x Combine like terms: -8x + -7x = -15x -18 + -15x = -21 + 7x + -7x Combine like terms: 7x + -7x = 0 -18 + -15x = -21 + 0 -18 + -15x = -21 Add '18' to each side of the equation. -18 + 18 + -15x = -21 + 18 Combine like terms: -18 + 18 = 0 0 + -15x = -21 + 18 -15x = -21 + 18 Combine like terms: -21 + 18 = -3 -15x = -3 Divide each side by '-15'. x = 0.2 Simplifying x = 0.2
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