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Simplifying 0.375(8x + 16) + 1 = 0.01(8x + -2) + 7 Reorder the terms: 0.375(16 + 8x) + 1 = 0.01(8x + -2) + 7 (16 * 0.375 + 8x * 0.375) + 1 = 0.01(8x + -2) + 7 (6 + 3x) + 1 = 0.01(8x + -2) + 7 Reorder the terms: 6 + 1 + 3x = 0.01(8x + -2) + 7 Combine like terms: 6 + 1 = 7 7 + 3x = 0.01(8x + -2) + 7 Reorder the terms: 7 + 3x = 0.01(-2 + 8x) + 7 7 + 3x = (-2 * 0.01 + 8x * 0.01) + 7 7 + 3x = (-0.02 + 0.08x) + 7 Reorder the terms: 7 + 3x = -0.02 + 7 + 0.08x Combine like terms: -0.02 + 7 = 6.98 7 + 3x = 6.98 + 0.08x Solving 7 + 3x = 6.98 + 0.08x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.08x' to each side of the equation. 7 + 3x + -0.08x = 6.98 + 0.08x + -0.08x Combine like terms: 3x + -0.08x = 2.92x 7 + 2.92x = 6.98 + 0.08x + -0.08x Combine like terms: 0.08x + -0.08x = 0.00 7 + 2.92x = 6.98 + 0.00 7 + 2.92x = 6.98 Add '-7' to each side of the equation. 7 + -7 + 2.92x = 6.98 + -7 Combine like terms: 7 + -7 = 0 0 + 2.92x = 6.98 + -7 2.92x = 6.98 + -7 Combine like terms: 6.98 + -7 = -0.02 2.92x = -0.02 Divide each side by '2.92'. x = -0.006849315068 Simplifying x = -0.006849315068
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