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Simplifying 0.2(x + 5) + 4x + -19 = 2x + 7 + -2(3 + -1x) Reorder the terms: 0.2(5 + x) + 4x + -19 = 2x + 7 + -2(3 + -1x) (5 * 0.2 + x * 0.2) + 4x + -19 = 2x + 7 + -2(3 + -1x) (1 + 0.2x) + 4x + -19 = 2x + 7 + -2(3 + -1x) Reorder the terms: 1 + -19 + 0.2x + 4x = 2x + 7 + -2(3 + -1x) Combine like terms: 1 + -19 = -18 -18 + 0.2x + 4x = 2x + 7 + -2(3 + -1x) Combine like terms: 0.2x + 4x = 4.2x -18 + 4.2x = 2x + 7 + -2(3 + -1x) -18 + 4.2x = 2x + 7 + (3 * -2 + -1x * -2) -18 + 4.2x = 2x + 7 + (-6 + 2x) Reorder the terms: -18 + 4.2x = 7 + -6 + 2x + 2x Combine like terms: 7 + -6 = 1 -18 + 4.2x = 1 + 2x + 2x Combine like terms: 2x + 2x = 4x -18 + 4.2x = 1 + 4x Solving -18 + 4.2x = 1 + 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. -18 + 4.2x + -4x = 1 + 4x + -4x Combine like terms: 4.2x + -4x = 0.2x -18 + 0.2x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 -18 + 0.2x = 1 + 0 -18 + 0.2x = 1 Add '18' to each side of the equation. -18 + 18 + 0.2x = 1 + 18 Combine like terms: -18 + 18 = 0 0 + 0.2x = 1 + 18 0.2x = 1 + 18 Combine like terms: 1 + 18 = 19 0.2x = 19 Divide each side by '0.2'. x = 95 Simplifying x = 95
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