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Simplifying 0.2(15x + -5) = 4(4x + 1) Reorder the terms: 0.2(-5 + 15x) = 4(4x + 1) (-5 * 0.2 + 15x * 0.2) = 4(4x + 1) (-1 + 3x) = 4(4x + 1) Reorder the terms: -1 + 3x = 4(1 + 4x) -1 + 3x = (1 * 4 + 4x * 4) -1 + 3x = (4 + 16x) Solving -1 + 3x = 4 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -1 + 3x + -16x = 4 + 16x + -16x Combine like terms: 3x + -16x = -13x -1 + -13x = 4 + 16x + -16x Combine like terms: 16x + -16x = 0 -1 + -13x = 4 + 0 -1 + -13x = 4 Add '1' to each side of the equation. -1 + 1 + -13x = 4 + 1 Combine like terms: -1 + 1 = 0 0 + -13x = 4 + 1 -13x = 4 + 1 Combine like terms: 4 + 1 = 5 -13x = 5 Divide each side by '-13'. x = -0.3846153846 Simplifying x = -0.3846153846
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