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Simplifying 7(x + 4) + -3(x + -2) = 16(2x + -3) + 19 Reorder the terms: 7(4 + x) + -3(x + -2) = 16(2x + -3) + 19 (4 * 7 + x * 7) + -3(x + -2) = 16(2x + -3) + 19 (28 + 7x) + -3(x + -2) = 16(2x + -3) + 19 Reorder the terms: 28 + 7x + -3(-2 + x) = 16(2x + -3) + 19 28 + 7x + (-2 * -3 + x * -3) = 16(2x + -3) + 19 28 + 7x + (6 + -3x) = 16(2x + -3) + 19 Reorder the terms: 28 + 6 + 7x + -3x = 16(2x + -3) + 19 Combine like terms: 28 + 6 = 34 34 + 7x + -3x = 16(2x + -3) + 19 Combine like terms: 7x + -3x = 4x 34 + 4x = 16(2x + -3) + 19 Reorder the terms: 34 + 4x = 16(-3 + 2x) + 19 34 + 4x = (-3 * 16 + 2x * 16) + 19 34 + 4x = (-48 + 32x) + 19 Reorder the terms: 34 + 4x = -48 + 19 + 32x Combine like terms: -48 + 19 = -29 34 + 4x = -29 + 32x Solving 34 + 4x = -29 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 34 + 4x + -32x = -29 + 32x + -32x Combine like terms: 4x + -32x = -28x 34 + -28x = -29 + 32x + -32x Combine like terms: 32x + -32x = 0 34 + -28x = -29 + 0 34 + -28x = -29 Add '-34' to each side of the equation. 34 + -34 + -28x = -29 + -34 Combine like terms: 34 + -34 = 0 0 + -28x = -29 + -34 -28x = -29 + -34 Combine like terms: -29 + -34 = -63 -28x = -63 Divide each side by '-28'. x = 2.25 Simplifying x = 2.25
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