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Simplifying 2[0.04(x + -4)] + 4[0.04(x + -5)] + 18 = 200 Reorder the terms: 2[0.04(-4 + x)] + 4[0.04(x + -5)] + 18 = 200 2[(-4 * 0.04 + x * 0.04)] + 4[0.04(x + -5)] + 18 = 200 2[(-0.16 + 0.04x)] + 4[0.04(x + -5)] + 18 = 200 [-0.16 * 2 + 0.04x * 2] + 4[0.04(x + -5)] + 18 = 200 [-0.32 + 0.08x] + 4[0.04(x + -5)] + 18 = 200 Reorder the terms: -0.32 + 0.08x + 4[0.04(-5 + x)] + 18 = 200 -0.32 + 0.08x + 4[(-5 * 0.04 + x * 0.04)] + 18 = 200 -0.32 + 0.08x + 4[(-0.2 + 0.04x)] + 18 = 200 -0.32 + 0.08x + [-0.2 * 4 + 0.04x * 4] + 18 = 200 -0.32 + 0.08x + [-0.8 + 0.16x] + 18 = 200 Reorder the terms: -0.32 + -0.8 + 18 + 0.08x + 0.16x = 200 Combine like terms: -0.32 + -0.8 = -1.12 -1.12 + 18 + 0.08x + 0.16x = 200 Combine like terms: -1.12 + 18 = 16.88 16.88 + 0.08x + 0.16x = 200 Combine like terms: 0.08x + 0.16x = 0.24x 16.88 + 0.24x = 200 Solving 16.88 + 0.24x = 200 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16.88' to each side of the equation. 16.88 + -16.88 + 0.24x = 200 + -16.88 Combine like terms: 16.88 + -16.88 = 0.00 0.00 + 0.24x = 200 + -16.88 0.24x = 200 + -16.88 Combine like terms: 200 + -16.88 = 183.12 0.24x = 183.12 Divide each side by '0.24'. x = 763 Simplifying x = 763
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