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Simplifying 7(2x + -3) + 16 = 6(x + 1) + -19 Reorder the terms: 7(-3 + 2x) + 16 = 6(x + 1) + -19 (-3 * 7 + 2x * 7) + 16 = 6(x + 1) + -19 (-21 + 14x) + 16 = 6(x + 1) + -19 Reorder the terms: -21 + 16 + 14x = 6(x + 1) + -19 Combine like terms: -21 + 16 = -5 -5 + 14x = 6(x + 1) + -19 Reorder the terms: -5 + 14x = 6(1 + x) + -19 -5 + 14x = (1 * 6 + x * 6) + -19 -5 + 14x = (6 + 6x) + -19 Reorder the terms: -5 + 14x = 6 + -19 + 6x Combine like terms: 6 + -19 = -13 -5 + 14x = -13 + 6x Solving -5 + 14x = -13 + 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. -5 + 14x + -6x = -13 + 6x + -6x Combine like terms: 14x + -6x = 8x -5 + 8x = -13 + 6x + -6x Combine like terms: 6x + -6x = 0 -5 + 8x = -13 + 0 -5 + 8x = -13 Add '5' to each side of the equation. -5 + 5 + 8x = -13 + 5 Combine like terms: -5 + 5 = 0 0 + 8x = -13 + 5 8x = -13 + 5 Combine like terms: -13 + 5 = -8 8x = -8 Divide each side by '8'. x = -1 Simplifying x = -1
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