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Simplifying 6x + -4(x + -2) = 7x + -1(3x + -4) + 19 Reorder the terms: 6x + -4(-2 + x) = 7x + -1(3x + -4) + 19 6x + (-2 * -4 + x * -4) = 7x + -1(3x + -4) + 19 6x + (8 + -4x) = 7x + -1(3x + -4) + 19 Reorder the terms: 8 + 6x + -4x = 7x + -1(3x + -4) + 19 Combine like terms: 6x + -4x = 2x 8 + 2x = 7x + -1(3x + -4) + 19 Reorder the terms: 8 + 2x = 7x + -1(-4 + 3x) + 19 8 + 2x = 7x + (-4 * -1 + 3x * -1) + 19 8 + 2x = 7x + (4 + -3x) + 19 Reorder the terms: 8 + 2x = 4 + 19 + 7x + -3x Combine like terms: 4 + 19 = 23 8 + 2x = 23 + 7x + -3x Combine like terms: 7x + -3x = 4x 8 + 2x = 23 + 4x Solving 8 + 2x = 23 + 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. 8 + 2x + -4x = 23 + 4x + -4x Combine like terms: 2x + -4x = -2x 8 + -2x = 23 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + -2x = 23 + 0 8 + -2x = 23 Add '-8' to each side of the equation. 8 + -8 + -2x = 23 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = 23 + -8 -2x = 23 + -8 Combine like terms: 23 + -8 = 15 -2x = 15 Divide each side by '-2'. x = -7.5 Simplifying x = -7.5
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