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Simplifying 4(x + -2) + (4x + 1) = 19 + -2x Reorder the terms: 4(-2 + x) + (4x + 1) = 19 + -2x (-2 * 4 + x * 4) + (4x + 1) = 19 + -2x (-8 + 4x) + (4x + 1) = 19 + -2x Reorder the terms: -8 + 4x + (1 + 4x) = 19 + -2x Remove parenthesis around (1 + 4x) -8 + 4x + 1 + 4x = 19 + -2x Reorder the terms: -8 + 1 + 4x + 4x = 19 + -2x Combine like terms: -8 + 1 = -7 -7 + 4x + 4x = 19 + -2x Combine like terms: 4x + 4x = 8x -7 + 8x = 19 + -2x Solving -7 + 8x = 19 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -7 + 8x + 2x = 19 + -2x + 2x Combine like terms: 8x + 2x = 10x -7 + 10x = 19 + -2x + 2x Combine like terms: -2x + 2x = 0 -7 + 10x = 19 + 0 -7 + 10x = 19 Add '7' to each side of the equation. -7 + 7 + 10x = 19 + 7 Combine like terms: -7 + 7 = 0 0 + 10x = 19 + 7 10x = 19 + 7 Combine like terms: 19 + 7 = 26 10x = 26 Divide each side by '10'. x = 2.6 Simplifying x = 2.6
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