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Simplifying 4(x + -5) + -2(3x + 4) = 6x + 7 Reorder the terms: 4(-5 + x) + -2(3x + 4) = 6x + 7 (-5 * 4 + x * 4) + -2(3x + 4) = 6x + 7 (-20 + 4x) + -2(3x + 4) = 6x + 7 Reorder the terms: -20 + 4x + -2(4 + 3x) = 6x + 7 -20 + 4x + (4 * -2 + 3x * -2) = 6x + 7 -20 + 4x + (-8 + -6x) = 6x + 7 Reorder the terms: -20 + -8 + 4x + -6x = 6x + 7 Combine like terms: -20 + -8 = -28 -28 + 4x + -6x = 6x + 7 Combine like terms: 4x + -6x = -2x -28 + -2x = 6x + 7 Reorder the terms: -28 + -2x = 7 + 6x Solving -28 + -2x = 7 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -28 + -2x + -6x = 7 + 6x + -6x Combine like terms: -2x + -6x = -8x -28 + -8x = 7 + 6x + -6x Combine like terms: 6x + -6x = 0 -28 + -8x = 7 + 0 -28 + -8x = 7 Add '28' to each side of the equation. -28 + 28 + -8x = 7 + 28 Combine like terms: -28 + 28 = 0 0 + -8x = 7 + 28 -8x = 7 + 28 Combine like terms: 7 + 28 = 35 -8x = 35 Divide each side by '-8'. x = -4.375 Simplifying x = -4.375
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