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Simplifying 4(-3x + 8) + -19 = -5x + 6(3x + -4) Reorder the terms: 4(8 + -3x) + -19 = -5x + 6(3x + -4) (8 * 4 + -3x * 4) + -19 = -5x + 6(3x + -4) (32 + -12x) + -19 = -5x + 6(3x + -4) Reorder the terms: 32 + -19 + -12x = -5x + 6(3x + -4) Combine like terms: 32 + -19 = 13 13 + -12x = -5x + 6(3x + -4) Reorder the terms: 13 + -12x = -5x + 6(-4 + 3x) 13 + -12x = -5x + (-4 * 6 + 3x * 6) 13 + -12x = -5x + (-24 + 18x) Reorder the terms: 13 + -12x = -24 + -5x + 18x Combine like terms: -5x + 18x = 13x 13 + -12x = -24 + 13x Solving 13 + -12x = -24 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 13 + -12x + -13x = -24 + 13x + -13x Combine like terms: -12x + -13x = -25x 13 + -25x = -24 + 13x + -13x Combine like terms: 13x + -13x = 0 13 + -25x = -24 + 0 13 + -25x = -24 Add '-13' to each side of the equation. 13 + -13 + -25x = -24 + -13 Combine like terms: 13 + -13 = 0 0 + -25x = -24 + -13 -25x = -24 + -13 Combine like terms: -24 + -13 = -37 -25x = -37 Divide each side by '-25'. x = 1.48 Simplifying x = 1.48
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