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Simplifying 10[0.1(x + -8) + -0.05(4x + -10)] = 0.3(10) Reorder the terms: 10[0.1(-8 + x) + -0.05(4x + -10)] = 0.3(10) 10[(-8 * 0.1 + x * 0.1) + -0.05(4x + -10)] = 0.3(10) 10[(-0.8 + 0.1x) + -0.05(4x + -10)] = 0.3(10) Reorder the terms: 10[-0.8 + 0.1x + -0.05(-10 + 4x)] = 0.3(10) 10[-0.8 + 0.1x + (-10 * -0.05 + 4x * -0.05)] = 0.3(10) 10[-0.8 + 0.1x + (0.5 + -0.2x)] = 0.3(10) Reorder the terms: 10[-0.8 + 0.5 + 0.1x + -0.2x] = 0.3(10) Combine like terms: -0.8 + 0.5 = -0.3 10[-0.3 + 0.1x + -0.2x] = 0.3(10) Combine like terms: 0.1x + -0.2x = -0.1x 10[-0.3 + -0.1x] = 0.3(10) [-0.3 * 10 + -0.1x * 10] = 0.3(10) [-3 + -1x] = 0.3(10) Multiply 0.3 * 10 -3 + -1x = 3 Solving -3 + -1x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1x = 3 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 3 + 3 -1x = 3 + 3 Combine like terms: 3 + 3 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6
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