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Simplifying 0.16(x + 3) = 2x + -2(3 + -1x) + -5 Reorder the terms: 0.16(3 + x) = 2x + -2(3 + -1x) + -5 (3 * 0.16 + x * 0.16) = 2x + -2(3 + -1x) + -5 (0.48 + 0.16x) = 2x + -2(3 + -1x) + -5 0.48 + 0.16x = 2x + (3 * -2 + -1x * -2) + -5 0.48 + 0.16x = 2x + (-6 + 2x) + -5 Reorder the terms: 0.48 + 0.16x = -6 + -5 + 2x + 2x Combine like terms: -6 + -5 = -11 0.48 + 0.16x = -11 + 2x + 2x Combine like terms: 2x + 2x = 4x 0.48 + 0.16x = -11 + 4x Solving 0.48 + 0.16x = -11 + 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. 0.48 + 0.16x + -4x = -11 + 4x + -4x Combine like terms: 0.16x + -4x = -3.84x 0.48 + -3.84x = -11 + 4x + -4x Combine like terms: 4x + -4x = 0 0.48 + -3.84x = -11 + 0 0.48 + -3.84x = -11 Add '-0.48' to each side of the equation. 0.48 + -0.48 + -3.84x = -11 + -0.48 Combine like terms: 0.48 + -0.48 = 0.00 0.00 + -3.84x = -11 + -0.48 -3.84x = -11 + -0.48 Combine like terms: -11 + -0.48 = -11.48 -3.84x = -11.48 Divide each side by '-3.84'. x = 2.989583333 Simplifying x = 2.989583333
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