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Simplifying 0.5(16x + 10) + -1 = 7(x + -3) Reorder the terms: 0.5(10 + 16x) + -1 = 7(x + -3) (10 * 0.5 + 16x * 0.5) + -1 = 7(x + -3) (5 + 8x) + -1 = 7(x + -3) Reorder the terms: 5 + -1 + 8x = 7(x + -3) Combine like terms: 5 + -1 = 4 4 + 8x = 7(x + -3) Reorder the terms: 4 + 8x = 7(-3 + x) 4 + 8x = (-3 * 7 + x * 7) 4 + 8x = (-21 + 7x) Solving 4 + 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. 4 + 8x + -7x = -21 + 7x + -7x Combine like terms: 8x + -7x = 1x 4 + 1x = -21 + 7x + -7x Combine like terms: 7x + -7x = 0 4 + 1x = -21 + 0 4 + 1x = -21 Add '-4' to each side of the equation. 4 + -4 + 1x = -21 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = -21 + -4 1x = -21 + -4 Combine like terms: -21 + -4 = -25 1x = -25 Divide each side by '1'. x = -25 Simplifying x = -25
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