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Simplifying 4 + -2x + 7 + -3x + 5 = 2x + 4x + -8 + 3x + -1x + -3 Reorder the terms: 4 + 7 + 5 + -2x + -3x = 2x + 4x + -8 + 3x + -1x + -3 Combine like terms: 4 + 7 = 11 11 + 5 + -2x + -3x = 2x + 4x + -8 + 3x + -1x + -3 Combine like terms: 11 + 5 = 16 16 + -2x + -3x = 2x + 4x + -8 + 3x + -1x + -3 Combine like terms: -2x + -3x = -5x 16 + -5x = 2x + 4x + -8 + 3x + -1x + -3 Reorder the terms: 16 + -5x = -8 + -3 + 2x + 4x + 3x + -1x Combine like terms: -8 + -3 = -11 16 + -5x = -11 + 2x + 4x + 3x + -1x Combine like terms: 2x + 4x = 6x 16 + -5x = -11 + 6x + 3x + -1x Combine like terms: 6x + 3x = 9x 16 + -5x = -11 + 9x + -1x Combine like terms: 9x + -1x = 8x 16 + -5x = -11 + 8x Solving 16 + -5x = -11 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 16 + -5x + -8x = -11 + 8x + -8x Combine like terms: -5x + -8x = -13x 16 + -13x = -11 + 8x + -8x Combine like terms: 8x + -8x = 0 16 + -13x = -11 + 0 16 + -13x = -11 Add '-16' to each side of the equation. 16 + -16 + -13x = -11 + -16 Combine like terms: 16 + -16 = 0 0 + -13x = -11 + -16 -13x = -11 + -16 Combine like terms: -11 + -16 = -27 -13x = -27 Divide each side by '-13'. x = 2.076923077 Simplifying x = 2.076923077
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