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Simplifying 0.16(x + 2) = 2x + -2(4 + -1x) + -7 Reorder the terms: 0.16(2 + x) = 2x + -2(4 + -1x) + -7 (2 * 0.16 + x * 0.16) = 2x + -2(4 + -1x) + -7 (0.32 + 0.16x) = 2x + -2(4 + -1x) + -7 0.32 + 0.16x = 2x + (4 * -2 + -1x * -2) + -7 0.32 + 0.16x = 2x + (-8 + 2x) + -7 Reorder the terms: 0.32 + 0.16x = -8 + -7 + 2x + 2x Combine like terms: -8 + -7 = -15 0.32 + 0.16x = -15 + 2x + 2x Combine like terms: 2x + 2x = 4x 0.32 + 0.16x = -15 + 4x Solving 0.32 + 0.16x = -15 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 0.32 + 0.16x + -4x = -15 + 4x + -4x Combine like terms: 0.16x + -4x = -3.84x 0.32 + -3.84x = -15 + 4x + -4x Combine like terms: 4x + -4x = 0 0.32 + -3.84x = -15 + 0 0.32 + -3.84x = -15 Add '-0.32' to each side of the equation. 0.32 + -0.32 + -3.84x = -15 + -0.32 Combine like terms: 0.32 + -0.32 = 0.00 0.00 + -3.84x = -15 + -0.32 -3.84x = -15 + -0.32 Combine like terms: -15 + -0.32 = -15.32 -3.84x = -15.32 Divide each side by '-3.84'. x = 3.989583333 Simplifying x = 3.989583333
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