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Simplifying 6x + -5 + -3x = 4(4x + -6) + -7 Reorder the terms: -5 + 6x + -3x = 4(4x + -6) + -7 Combine like terms: 6x + -3x = 3x -5 + 3x = 4(4x + -6) + -7 Reorder the terms: -5 + 3x = 4(-6 + 4x) + -7 -5 + 3x = (-6 * 4 + 4x * 4) + -7 -5 + 3x = (-24 + 16x) + -7 Reorder the terms: -5 + 3x = -24 + -7 + 16x Combine like terms: -24 + -7 = -31 -5 + 3x = -31 + 16x Solving -5 + 3x = -31 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -5 + 3x + -16x = -31 + 16x + -16x Combine like terms: 3x + -16x = -13x -5 + -13x = -31 + 16x + -16x Combine like terms: 16x + -16x = 0 -5 + -13x = -31 + 0 -5 + -13x = -31 Add '5' to each side of the equation. -5 + 5 + -13x = -31 + 5 Combine like terms: -5 + 5 = 0 0 + -13x = -31 + 5 -13x = -31 + 5 Combine like terms: -31 + 5 = -26 -13x = -26 Divide each side by '-13'. x = 2 Simplifying x = 2
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